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2916196992 = 2734733853
BaseRepresentation
bin1010110111010001…
…1010001010000000
321112020100011020000
42231310122022000
521433021300432
61201212120000
7132160160022
oct25564321200
97466304200
102916196992
111267131a65
12694766000
13376222167
141d9430012
1512103d57c
hexadd1a280

2916196992 has 160 divisors (see below), whose sum is σ = 8799722580. Its totient is φ = 958500864.

The previous prime is 2916196981. The next prime is 2916197003. The reversal of 2916196992 is 2996916192.

It is an interprime number because it is at equal distance from previous prime (2916196981) and next prime (2916197003).

It can be written as a sum of positive squares in 2 ways, for example, as 2518433856 + 397763136 = 50184^2 + 19944^2 .

It is a super-2 number, since 2×29161969922 = 17008409792299696128, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 754938 + ... + 758790.

Almost surely, 22916196992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2916196992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4399861290).

2916196992 is an abundant number, since it is smaller than the sum of its proper divisors (5883525588).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2916196992 is an equidigital number, since it uses as much as digits as its factorization.

2916196992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3952 (or 3931 counting only the distinct ones).

The product of its digits is 944784, while the sum is 54.

The square root of 2916196992 is about 54001.8239691957. The cubic root of 2916196992 is about 1428.6931173749.

The spelling of 2916196992 in words is "two billion, nine hundred sixteen million, one hundred ninety-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 81 96 108 128 144 146 162 192 216 219 288 292 324 384 432 438 576 584 648 657 864 876 1152 1168 1296 1314 1728 1752 1971 2336 2592 2628 3456 3504 3853 3942 4672 5184 5256 5913 7008 7706 7884 9344 10368 10512 11559 11826 14016 15412 15768 21024 23118 23652 28032 30824 31536 34677 42048 46236 47304 61648 63072 69354 84096 92472 94608 104031 123296 126144 138708 184944 189216 208062 246592 252288 277416 281269 312093 369888 378432 416124 493184 554832 562538 624186 739776 756864 832248 843807 1109664 1125076 1248372 1479552 1664496 1687614 2219328 2250152 2496744 2531421 3328992 3375228 4438656 4500304 4993488 5062842 6657984 6750456 7594263 9000608 9986976 10125684 13315968 13500912 15188526 18001216 19973952 20251368 22782789 27001824 30377052 36002432 39947904 40502736 45565578 54003648 60754104 81005472 91131156 108007296 121508208 162010944 182262312 243016416 324021888 364524624 486032832 729049248 972065664 1458098496 2916196992