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15146701056 = 28332191363
BaseRepresentation
bin11100001101101000…
…00101000100000000
31110002121012010201000
432012310011010000
5222010023413211
610542554212000
71044230556204
oct160664050400
943077163630
1015146701056
116472a10763
122b28724000
131575061506
14a398d0b04
155d9b41656
hex386d05100

15146701056 has 72 divisors (see below), whose sum is σ = 44791480160. Its totient is φ = 5048898048.

The previous prime is 15146701033. The next prime is 15146701057. The reversal of 15146701056 is 65010764151.

It is a happy number.

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 a self number, because there is not a number n which added to its sum of digits gives 15146701056.

It is not an unprimeable number, because it can be changed into a prime (15146701057) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 1088770 + ... + 1102593.

Almost surely, 215146701056 is an apocalyptic number.

15146701056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

15146701056 is an abundant number, since it is smaller than the sum of its proper divisors (29644779104).

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

15146701056 is an equidigital number, since it uses as much as digits as its factorization.

15146701056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2191388 (or 2191368 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 15146701056 in words is "fifteen billion, one hundred forty-six million, seven hundred one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2304 3456 6912 2191363 4382726 6574089 8765452 13148178 17530904 19722267 26296356 35061808 39444534 52592712 59166801 70123616 78889068 105185424 118333602 140247232 157778136 210370848 236667204 280494464 315556272 420741696 473334408 560988928 631112544 841483392 946668816 1262225088 1682966784 1893337632 2524450176 3786675264 5048900352 7573350528 15146701056