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153157405960032 = 25389919125915493
BaseRepresentation
bin100010110100101110111100…
…110001101110011101100000
3202002021201000221211100000020
4202310232330301232131200
5130033312331411210112
61301423312503353440
744155154203455105
oct4264567461563540
9662251027740006
10153157405960032
114488976694a511
1215216b21452880
13675c8b209b526
1429b6c024d6aac
1512a8e97a0b48c
hex8b4bbcc6e760

153157405960032 has 192 divisors, whose sum is σ = 407347424064000. Its totient is φ = 50380614586368.

The previous prime is 153157405959967. The next prime is 153157405960037. The reversal of 153157405960032 is 230069504751351.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (153157405960037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9885579678 + ... + 9885595170.

It is an arithmetic number, because the mean of its divisors is an integer number (2121601167000).

Almost surely, 2153157405960032 is an apocalyptic number.

153157405960032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153157405960032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203673712032000).

153157405960032 is an abundant number, since it is smaller than the sum of its proper divisors (254190018103968).

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

153157405960032 is a wasteful number, since it uses less digits than its factorization.

153157405960032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17773 (or 17765 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 51.

The spelling of 153157405960032 in words is "one hundred fifty-three trillion, one hundred fifty-seven billion, four hundred five million, nine hundred sixty thousand, thirty-two".