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125694809856 = 28367118747
BaseRepresentation
bin111010100001111111…
…1101001011100000000
3110000102212221221000000
41311003333221130000
54024410332403411
6133424324000000
712036556153410
oct1650377513400
9400385857000
10125694809856
1149341497050
122043ab30000
13bb11c88b45
1461257d0640
153409e06956
hex1d43fe9700

125694809856 has 504 divisors, whose sum is σ = 469052083584. Its totient is φ = 32644270080.

The previous prime is 125694809839. The next prime is 125694809857. The reversal of 125694809856 is 658908496521.

125694809856 is a `hidden beast` number, since 1 + 2 + 5 + 69 + 480 + 98 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 125694809793 and 125694809802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125694809857) 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 55 ways as a sum of consecutive naturals, for example, 14365675 + ... + 14374421.

It is an arithmetic number, because the mean of its divisors is an integer number (930658896).

Almost surely, 2125694809856 is an apocalyptic number.

125694809856 is a gapful number since it is divisible by the number (16) 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 125694809856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234526041792).

125694809856 is an abundant number, since it is smaller than the sum of its proper divisors (343357273728).

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

125694809856 is an frugal number, since it uses more digits than its factorization.

125694809856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8799 (or 8770 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 125694809856 in words is "one hundred twenty-five billion, six hundred ninety-four million, eight hundred nine thousand, eight hundred fifty-six".