Search a number
-
+
16136631072 = 2532471192127
BaseRepresentation
bin11110000011101000…
…10111001100100000
31112122120220210101200
433001310113030200
5231021434143242
611225120001200
71110611046432
oct170164271440
945576823350
1016136631072
116930786841
123164160200
1316a2184013
14ad117a652
156469d404c
hex3c1d17320

16136631072 has 72 divisors (see below), whose sum is σ = 46864935936. Its totient is φ = 5264428416.

The previous prime is 16136631067. The next prime is 16136631073. The reversal of 16136631072 is 27013663161.

16136631072 is a `hidden beast` number, since 1 + 6 + 13 + 6 + 631 + 0 + 7 + 2 = 666.

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

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

It is not an unprimeable number, because it can be changed into a prime (16136631073) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 582528 + ... + 609599.

It is an arithmetic number, because the mean of its divisors is an integer number (650901888).

Almost surely, 216136631072 is an apocalyptic number.

16136631072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

16136631072 is an abundant number, since it is smaller than the sum of its proper divisors (30728304864).

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

16136631072 is a wasteful number, since it uses less digits than its factorization.

16136631072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192190 (or 1192179 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 16136631072 in words is "sixteen billion, one hundred thirty-six million, six hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 141 144 188 282 288 376 423 564 752 846 1128 1504 1692 2256 3384 4512 6768 13536 1192127 2384254 3576381 4768508 7152762 9537016 10729143 14305524 19074032 21458286 28611048 38148064 42916572 56029969 57222096 85833144 112059938 114444192 168089907 171666288 224119876 336179814 343332576 448239752 504269721 672359628 896479504 1008539442 1344719256 1792959008 2017078884 2689438512 4034157768 5378877024 8068315536 16136631072