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125430153912 = 2333719101139311
BaseRepresentation
bin111010011010000111…
…0000100001010111000
3102222202102222000022000
41310310032010022320
54023340104411122
6133342151301000
712030163500630
oct1646416041270
9388672860260
10125430153912
1149216063128
122038637a760
13ba9c1b45ab
1460dc5bb6c0
1533e1a7a0ac
hex1d343842b8

125430153912 has 512 divisors, whose sum is σ = 427714560000. Its totient is φ = 33265728000.

The previous prime is 125430153847. The next prime is 125430153917. The reversal of 125430153912 is 219351034521.

It is a happy number.

125430153912 is a `hidden beast` number, since 1 + 254 + 3 + 0 + 15 + 391 + 2 = 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 (125430153917) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 403312237 + ... + 403312547.

It is an arithmetic number, because the mean of its divisors is an integer number (835380000).

Almost surely, 2125430153912 is an apocalyptic number.

125430153912 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 125430153912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213857280000).

125430153912 is an abundant number, since it is smaller than the sum of its proper divisors (302284406088).

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

125430153912 is a wasteful number, since it uses less digits than its factorization.

125430153912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592 (or 582 counting only the distinct ones).

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

The spelling of 125430153912 in words is "one hundred twenty-five billion, four hundred thirty million, one hundred fifty-three thousand, nine hundred twelve".