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2136342528 = 217321811
BaseRepresentation
bin111111101010110…
…0000000000000000
312111212220110000100
41333111200000000
513333400430103
6551553122400
7103640416605
oct17725400000
95455813010
102136342528
119a6a00841
124b7559400
132807a3a08
14163a2a6ac
15c78455a3
hex7f560000

2136342528 has 108 divisors (see below), whose sum is σ = 6175040508. Its totient is φ = 711720960.

The previous prime is 2136342479. The next prime is 2136342541. The reversal of 2136342528 is 8252436312.

2136342528 is a `hidden beast` number, since 2 + 13 + 634 + 2 + 5 + 2 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2136342492 and 2136342501.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1178743 + ... + 1180553.

It is an arithmetic number, because the mean of its divisors is an integer number (57176301).

Almost surely, 22136342528 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 2136342528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3087520254).

2136342528 is an abundant number, since it is smaller than the sum of its proper divisors (4038697980).

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

2136342528 is an frugal number, since it uses more digits than its factorization.

2136342528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851 (or 1816 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 2136342528 is about 46220.5855436731. The cubic root of 2136342528 is about 1287.9241754162.

The spelling of 2136342528 in words is "two billion, one hundred thirty-six million, three hundred forty-two thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 1811 2048 2304 3072 3622 4096 4608 5433 6144 7244 8192 9216 10866 12288 14488 16299 16384 18432 21732 24576 28976 32598 32768 36864 43464 49152 57952 65196 65536 73728 86928 98304 115904 130392 131072 147456 173856 196608 231808 260784 294912 347712 393216 463616 521568 589824 695424 927232 1043136 1179648 1390848 1854464 2086272 2781696 3708928 4172544 5563392 7417856 8345088 11126784 14835712 16690176 22253568 29671424 33380352 44507136 59342848 66760704 89014272 118685696 133521408 178028544 237371392 267042816 356057088 534085632 712114176 1068171264 2136342528