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125432055540 = 22325113110120233
BaseRepresentation
bin111010011010001010…
…1010100011011110100
3102222202120112121211200
41310310111110123310
54023341101234130
6133342300132500
712030215611011
oct1646425243364
9388676477750
10125432055540
1149217141920
1220386b37130
13ba9c6cc00c
1460dc954708
1533e1d03760
hex1d345546f4

125432055540 has 288 divisors, whose sum is σ = 432718820352. Its totient is φ = 29134080000.

The previous prime is 125432055503. The next prime is 125432055547. The reversal of 125432055540 is 45550234521.

125432055540 is a `hidden beast` number, since 1 + 2 + 5 + 43 + 20 + 55 + 540 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 125432055495 and 125432055504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125432055547) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6189264 + ... + 6209496.

It is an arithmetic number, because the mean of its divisors is an integer number (1502495904).

Almost surely, 2125432055540 is an apocalyptic number.

125432055540 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 125432055540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216359410176).

125432055540 is an abundant number, since it is smaller than the sum of its proper divisors (307286764812).

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

125432055540 is a wasteful number, since it uses less digits than its factorization.

125432055540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20391 (or 20386 counting only the distinct ones).

The product of its (nonzero) digits is 120000, while the sum is 36.

The spelling of 125432055540 in words is "one hundred twenty-five billion, four hundred thirty-two million, fifty-five thousand, five hundred forty".