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155313269856 = 25341910928933
BaseRepresentation
bin1001000010100101100…
…1000110110001100000
3112211220001022120220000
42100221121012301200
510021040144113411
6155203330220000
714135544003633
oct2205131066140
9484801276800
10155313269856
115a960323468
1226126124600
13118522a3b14
1477352bbc1a
1540902b6956
hex2429646c60

155313269856 has 240 divisors, whose sum is σ = 485240540400. Its totient is φ = 48594650112.

The previous prime is 155313269843. The next prime is 155313269857. The reversal of 155313269856 is 658962313551.

155313269856 is a `hidden beast` number, since 1 + 5 + 531 + 3 + 26 + 9 + 85 + 6 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155313269857) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5353566 + ... + 5382498.

It is an arithmetic number, because the mean of its divisors is an integer number (2021835585).

Almost surely, 2155313269856 is an apocalyptic number.

155313269856 is a gapful number since it is divisible by the number (16) 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 155313269856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242620270200).

155313269856 is an abundant number, since it is smaller than the sum of its proper divisors (329927270544).

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

155313269856 is a wasteful number, since it uses less digits than its factorization.

155313269856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29083 (or 29066 counting only the distinct ones).

The product of its digits is 5832000, while the sum is 54.

The spelling of 155313269856 in words is "one hundred fifty-five billion, three hundred thirteen million, two hundred sixty-nine thousand, eight hundred fifty-six".