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125086031532 = 2232711712572473
BaseRepresentation
bin111010001111110110…
…1010101111010101100
3102221212110102210010200
41310133231111322230
54022134011002112
6133244055433500
712015514503450
oct1643755257254
9387773383120
10125086031532
1149059892970
12202ab085890
13ba45b08797
1460a8a00660
1533c1752cdc
hex1d1fb55eac

125086031532 has 288 divisors, whose sum is σ = 401480561664. Its totient is φ = 31894732800.

The previous prime is 125086031531. The next prime is 125086031533. The reversal of 125086031532 is 235130680521.

125086031532 is a `hidden beast` number, since 1 + 2 + 5 + 0 + 8 + 603 + 15 + 32 = 666.

125086031532 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (125086031531) and next prime (125086031533).

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

It is not an unprimeable number, because it can be changed into a prime (125086031531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50579448 + ... + 50581920.

It is an arithmetic number, because the mean of its divisors is an integer number (1394029728).

Almost surely, 2125086031532 is an apocalyptic number.

125086031532 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 125086031532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200740280832).

125086031532 is an abundant number, since it is smaller than the sum of its proper divisors (276394530132).

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

125086031532 is a wasteful number, since it uses less digits than its factorization.

125086031532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2829 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 125086031532 in words is "one hundred twenty-five billion, eighty-six million, thirty-one thousand, five hundred thirty-two".