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10992292992 = 273230892
BaseRepresentation
bin10100011110011000…
…10001010010000000
31001101001221100012200
422033030101102000
5140003011333432
65014430553200
7536253643302
oct121714212200
931331840180
1010992292992
11473095446a
122169368800
1310624596a5
14763c65972
1544506aa7c
hex28f311480

10992292992 has 72 divisors (see below), whose sum is σ = 31641711465. Its totient is φ = 3662911488.

The previous prime is 10992292979. The next prime is 10992293047. The reversal of 10992292992 is 29929229901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 8497889856 + 2494403136 = 92184^2 + 49944^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74136.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 3556984 + ... + 3560072.

Almost surely, 210992292992 is an apocalyptic number.

10992292992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10992292992

10992292992 is an abundant number, since it is smaller than the sum of its proper divisors (20649418473).

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

10992292992 is an frugal number, since it uses more digits than its factorization.

10992292992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6198 (or 3094 counting only the distinct ones).

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

The spelling of 10992292992 in words is "ten billion, nine hundred ninety-two million, two hundred ninety-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 3089 6178 9267 12356 18534 24712 27801 37068 49424 55602 74136 98848 111204 148272 197696 222408 296544 395392 444816 593088 889632 1186176 1779264 3558528 9541921 19083842 28625763 38167684 57251526 76335368 85877289 114503052 152670736 171754578 229006104 305341472 343509156 458012208 610682944 687018312 916024416 1221365888 1374036624 1832048832 2748073248 3664097664 5496146496 10992292992