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155097734400 = 28325271991933
BaseRepresentation
bin1001000001110010001…
…0111001110100000000
3112211100000202020211100
42100130202321310000
510020120010000100
6155130110414400
714130315663450
oct2203442716400
9484300666740
10155097734400
115a85a69a494
1226085b01400
131181973a54b
147714813d60
15407b3de400
hex241c8b9d00

155097734400 has 648 divisors, whose sum is σ = 637239075200. Its totient is φ = 35254517760.

The previous prime is 155097734399. The next prime is 155097734461. The reversal of 155097734400 is 4437790551.

155097734400 is a `hidden beast` number, since 1 + 5 + 50 + 97 + 73 + 440 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 80235834 + ... + 80237766.

Almost surely, 2155097734400 is an apocalyptic number.

155097734400 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 155097734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318619537600).

155097734400 is an abundant number, since it is smaller than the sum of its proper divisors (482141340800).

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

155097734400 is a wasteful number, since it uses less digits than its factorization.

155097734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2171 (or 2149 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 155097734400 in words is "one hundred fifty-five billion, ninety-seven million, seven hundred thirty-four thousand, four hundred".