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761224106137 = 113114831505279
BaseRepresentation
bin10110001001111000111…
…11100001000010011001
32200202212000110020102111
423010330133201002121
544432441332344022
61341411310232321
7105665562066535
oct13047437410231
92622760406374
10761224106137
11273919187820
121036444b56a1
1356a246ab991
1428bb45a0bc5
1514c04008477
hexb13c7e1099

761224106137 has 16 divisors (see below), whose sum is σ = 857792839680. Its totient is φ = 669246598800.

The previous prime is 761224106117. The next prime is 761224106197. The reversal of 761224106137 is 731601422167.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-761224106137 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 761224106137.

It is not an unprimeable number, because it can be changed into a prime (761224106117) 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 15 ways as a sum of consecutive naturals, for example, 246937 + ... + 1258342.

It is an arithmetic number, because the mean of its divisors is an integer number (53612052480).

Almost surely, 2761224106137 is an apocalyptic number.

It is an amenable number.

761224106137 is a deficient number, since it is larger than the sum of its proper divisors (96568733543).

761224106137 is a wasteful number, since it uses less digits than its factorization.

761224106137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506804.

The product of its (nonzero) digits is 84672, while the sum is 40.

The spelling of 761224106137 in words is "seven hundred sixty-one billion, two hundred twenty-four million, one hundred six thousand, one hundred thirty-seven".

Divisors: 1 11 31 341 1483 16313 45973 505703 1505279 16558069 46663649 513300139 2232328757 24555616327 69202191467 761224106137