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155046013920 = 25355717233147
BaseRepresentation
bin1001000001100101110…
…1100110101111100000
3112211012102102120200000
42100121131212233200
510020013234421140
6155121022100000
714126120242050
oct2203135465740
9484172376600
10155046013920
115a833484096
122607071a600
131180bacc005
14770b9cd560
154076ac4a30
hex2419766be0

155046013920 has 2304 divisors, whose sum is σ = 730395574272. Its totient is φ = 30218158080.

The previous prime is 155046013883. The next prime is 155046013921. The reversal of 155046013920 is 29310640551.

155046013920 is a `hidden beast` number, since 1 + 5 + 504 + 60 + 1 + 3 + 92 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (155046013921) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 3298851337 + ... + 3298851383.

It is an arithmetic number, because the mean of its divisors is an integer number (317011968).

Almost surely, 2155046013920 is an apocalyptic number.

155046013920 is a gapful number since it is divisible by the number (10) 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 155046013920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365197787136).

155046013920 is an abundant number, since it is smaller than the sum of its proper divisors (575349560352).

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

155046013920 is a wasteful number, since it uses less digits than its factorization.

155046013920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 155046013920 in words is "one hundred fifty-five billion, forty-six million, thirteen thousand, nine hundred twenty".