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155378671200 = 25355219233159
BaseRepresentation
bin1001000010110101001…
…0100101111001100000
3112212001121101022200000
42100231102211321200
510021203414434300
6155214024100000
714140266625254
oct2205522457140
9485047338600
10155378671200
115a994233465
1226144004600
13118629c243c
14773dc64264
154095dd4c00
hex242d4a5e60

155378671200 has 1728 divisors, whose sum is σ = 655158067200. Its totient is φ = 35719833600.

The previous prime is 155378671199. The next prime is 155378671243. The reversal of 155378671200 is 2176873551.

It is a happy number.

155378671200 is a `hidden beast` number, since 1 + 5 + 5 + 378 + 6 + 71 + 200 = 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 287 ways as a sum of consecutive naturals, for example, 2633536771 + ... + 2633536829.

It is an arithmetic number, because the mean of its divisors is an integer number (379142400).

Almost surely, 2155378671200 is an apocalyptic number.

155378671200 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 155378671200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327579033600).

155378671200 is an abundant number, since it is smaller than the sum of its proper divisors (499779396000).

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

155378671200 is a wasteful number, since it uses less digits than its factorization.

155378671200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 45.

The spelling of 155378671200 in words is "one hundred fifty-five billion, three hundred seventy-eight million, six hundred seventy-one thousand, two hundred".