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125067256468 = 2271131531012447
BaseRepresentation
bin111010001111010010…
…1101110001010010100
3102221211011002220120221
41310132211232022110
54022114204201333
6133242145204124
712015166065610
oct1643645561224
9387734086527
10125067256468
114904a229990
12202a4930644
13ba41c63a8b
1460a6314340
1533bec94d2d
hex1d1e96e294

125067256468 has 192 divisors, whose sum is σ = 289950990336. Its totient is φ = 45789120000.

The previous prime is 125067256441. The next prime is 125067256513. The reversal of 125067256468 is 864652760521.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 51109221 + ... + 51111667.

It is an arithmetic number, because the mean of its divisors is an integer number (1510161408).

Almost surely, 2125067256468 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125067256468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144975495168).

125067256468 is an abundant number, since it is smaller than the sum of its proper divisors (164883733868).

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

125067256468 is a wasteful number, since it uses less digits than its factorization.

125067256468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654 (or 2652 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 125067256468 in words is "one hundred twenty-five billion, sixty-seven million, two hundred fifty-six thousand, four hundred sixty-eight".