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153553543531056 = 24331142331116871
BaseRepresentation
bin100010111010011111111000…
…011010101000101000110000
3202010200120112110112222112000
4202322133320122220220300
5130111310124120443211
61302325305110334000
744225606645325204
oct4272377032505060
9663616473488460
10153553543531056
1144a21768210849
121527b85705a300
13678b063454a26
1429cc061716b04
1512b44302a6656
hex8ba7f86a8a30

153553543531056 has 80 divisors (see below), whose sum is σ = 440794140702720. Its totient is φ = 51180032036160.

The previous prime is 153553543531039. The next prime is 153553543531079. The reversal of 153553543531056 is 650135345355351.

153553543531056 is a `hidden beast` number, since 1 + 5 + 3 + 5 + 5 + 3 + 54 + 3 + 531 + 0 + 56 = 666.

153553543531056 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 153553543530993 and 153553543531011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10623700 + ... + 20493171.

It is an arithmetic number, because the mean of its divisors is an integer number (5509926758784).

Almost surely, 2153553543531056 is an apocalyptic number.

153553543531056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

153553543531056 is an abundant number, since it is smaller than the sum of its proper divisors (287240597171664).

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

153553543531056 is a wasteful number, since it uses less digits than its factorization.

153553543531056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31128311 (or 31128299 counting only the distinct ones).

The product of its (nonzero) digits is 30375000, while the sum is 54.

The spelling of 153553543531056 in words is "one hundred fifty-three trillion, five hundred fifty-three billion, five hundred forty-three million, five hundred thirty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 11423 22846 34269 45692 68538 91384 102807 137076 182768 205614 274152 308421 411228 548304 616842 822456 1233684 1644912 2467368 4934736 31116871 62233742 93350613 124467484 186701226 248934968 280051839 373402452 497869936 560103678 746804904 840155517 1120207356 1493609808 1680311034 2240414712 3360622068 4480829424 6721244136 13442488272 355448017433 710896034866 1066344052299 1421792069732 2132688104598 2843584139464 3199032156897 4265376209196 5687168278928 6398064313794 8530752418392 9597096470691 12796128627588 17061504836784 19194192941382 25592257255176 38388385882764 51184514510352 76776771765528 153553543531056