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10153629696 = 21137236087
BaseRepresentation
bin10010111010011010…
…00001100000000000
3222012121211211110010
421131031001200000
5131243312122241
64355311304520
7506421266640
oct113515014000
928177754403
1010153629696
114340506301
121b7451b140
13c5a78a512
146c4714520
153e6607d16
hex25d341800

10153629696 has 96 divisors (see below), whose sum is σ = 30936971520. Its totient is φ = 2901024768.

The previous prime is 10153629679. The next prime is 10153629709. The reversal of 10153629696 is 69692635101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 75036 + ... + 161051.

It is an arithmetic number, because the mean of its divisors is an integer number (322260120).

Almost surely, 210153629696 is an apocalyptic number.

10153629696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10153629696 is an abundant number, since it is smaller than the sum of its proper divisors (20783341824).

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

10153629696 is an equidigital number, since it uses as much as digits as its factorization.

10153629696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236119 (or 236099 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 10153629696 in words is "ten billion, one hundred fifty-three million, six hundred twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 43008 236087 472174 708261 944348 1416522 1652609 1888696 2833044 3305218 3777392 4957827 5666088 6610436 7554784 9915654 11332176 13220872 15109568 19831308 22664352 26441744 30219136 39662616 45328704 52883488 60438272 79325232 90657408 105766976 120876544 158650464 181314816 211533952 241753088 317300928 362629632 423067904 483506176 634601856 725259264 846135808 1269203712 1450518528 1692271616 2538407424 3384543232 5076814848 10153629696