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125432629560 = 233257103483251
BaseRepresentation
bin111010011010001011…
…1100000100100111000
3102222202121121210020200
41310310113200210320
54023341223121220
6133342320322200
712030223521360
oct1646427404470
9388677553220
10125432629560
11492174a4117
1220387173360
13ba9c870384
1460dca639a0
1533e1db8890
hex1d345e0938

125432629560 has 192 divisors, whose sum is σ = 470416826880. Its totient is φ = 28391904000.

The previous prime is 125432629549. The next prime is 125432629561. The reversal of 125432629560 is 65926234521.

125432629560 is a `hidden beast` number, since 1 + 2 + 5 + 43 + 26 + 29 + 560 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125432629561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17935 + ... + 501185.

It is an arithmetic number, because the mean of its divisors is an integer number (2450087640).

Almost surely, 2125432629560 is an apocalyptic number.

125432629560 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 125432629560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235208413440).

125432629560 is an abundant number, since it is smaller than the sum of its proper divisors (344984197320).

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

125432629560 is a wasteful number, since it uses less digits than its factorization.

125432629560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483378 (or 483371 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 125432629560 in words is "one hundred twenty-five billion, four hundred thirty-two million, six hundred twenty-nine thousand, five hundred sixty".