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153364165504 = 2711108923413
BaseRepresentation
bin1000111011010100110…
…1110111001110000000
3112122212012201211100221
42032311031313032000
510003042211244004
6154242102152424
714036335616644
oct2166515671600
9478765654327
10153364165504
115a050089520
1225881422714
1311601539734
1475cc4b0c24
153ec9109354
hex23b5377380

153364165504 has 32 divisors (see below), whose sum is σ = 333305646840. Its totient is φ = 69710983680.

The previous prime is 153364165481. The next prime is 153364165541. The reversal of 153364165504 is 405561463351.

153364165504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 54460299 + ... + 54463114.

Almost surely, 2153364165504 is an apocalyptic number.

It is an amenable number.

153364165504 is an abundant number, since it is smaller than the sum of its proper divisors (179941481336).

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

153364165504 is a wasteful number, since it uses less digits than its factorization.

153364165504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108923438 (or 108923426 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 43.

The spelling of 153364165504 in words is "one hundred fifty-three billion, three hundred sixty-four million, one hundred sixty-five thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 108923413 217846826 435693652 871387304 1198157543 1742774608 2396315086 3485549216 4792630172 6971098432 9585260344 13942196864 19170520688 38341041376 76682082752 153364165504