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125760413106 = 2335034630013
BaseRepresentation
bin111010100011111100…
…1111001110110110010
3110000121110101220202000
41311013321321312302
54030024131204411
6133435030034430
712041313605466
oct1650771716662
9400543356660
10125760413106
1149375524809
1220458aa8a16
13bb22748333
1461303ca4a6
153410a64956
hex1d47e79db2

125760413106 has 32 divisors (see below), whose sum is σ = 280023246720. Its totient is φ = 41836788432.

The previous prime is 125760413059. The next prime is 125760413117. The reversal of 125760413106 is 601314067521.

125760413106 is a `hidden beast` number, since 1 + 25 + 7 + 604 + 13 + 10 + 6 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2287845 + ... + 2342168.

It is an arithmetic number, because the mean of its divisors is an integer number (8750726460).

Almost surely, 2125760413106 is an apocalyptic number.

125760413106 is an abundant number, since it is smaller than the sum of its proper divisors (154262833614).

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

125760413106 is a wasteful number, since it uses less digits than its factorization.

125760413106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4630527 (or 4630521 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 125760413106 in words is "one hundred twenty-five billion, seven hundred sixty million, four hundred thirteen thousand, one hundred six".

Divisors: 1 2 3 6 9 18 27 54 503 1006 1509 3018 4527 9054 13581 27162 4630013 9260026 13890039 27780078 41670117 83340234 125010351 250020702 2328896539 4657793078 6986689617 13973379234 20960068851 41920137702 62880206553 125760413106