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153016555136 = 271637333999
BaseRepresentation
bin1000111010000001111…
…1110101011010000000
3112121221222122101120212
42032200133311122000
510001334214231021
6154143403453252
714024615154434
oct2164037653200
9477858571525
10153016555136
1159991946725
12257a4b27228
131157750c123
1475982669c4
153ea884385b
hex23a07f5680

153016555136 has 32 divisors (see below), whose sum is σ = 306707880000. Its totient is φ = 76038891264.

The previous prime is 153016555129. The next prime is 153016555147. The reversal of 153016555136 is 631555610351.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1530165551362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 153016555093 and 153016555102.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3646136 + ... + 3687863.

It is an arithmetic number, because the mean of its divisors is an integer number (9584621250).

Almost surely, 2153016555136 is an apocalyptic number.

153016555136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153016555136 is an abundant number, since it is smaller than the sum of its proper divisors (153691324864).

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

153016555136 is an equidigital number, since it uses as much as digits as its factorization.

153016555136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7334176 (or 7334164 counting only the distinct ones).

The product of its (nonzero) digits is 202500, while the sum is 41.

The spelling of 153016555136 in words is "one hundred fifty-three billion, sixteen million, five hundred fifty-five thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 128 163 326 652 1304 2608 5216 10432 20864 7333999 14667998 29335996 58671992 117343984 234687968 469375936 938751872 1195441837 2390883674 4781767348 9563534696 19127069392 38254138784 76508277568 153016555136