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761466705131 = 113120101111091
BaseRepresentation
bin10110001010010101111…
…00111101010011101011
32200210110220221112200102
423011022330331103223
544433440434031011
61341451334100015
7106004566125326
oct13051274752353
92623426845612
10761466705131
11273a33115a60
121036b17aa60b
1356a62a2c792
1428bd88b17bd
1514c1a47973b
hexb14af3d4eb

761466705131 has 16 divisors (see below), whose sum is σ = 857537811456. Its totient is φ = 669872700000.

The previous prime is 761466705089. The next prime is 761466705169. The reversal of 761466705131 is 131507664167.

It is a cyclic number.

It is not a de Polignac number, because 761466705131 - 214 = 761466688747 is a prime.

It is a super-2 number, since 2×7614667051312 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (761466705031) 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 15 ways as a sum of consecutive naturals, for example, 6798896 + ... + 6909986.

It is an arithmetic number, because the mean of its divisors is an integer number (53596113216).

Almost surely, 2761466705131 is an apocalyptic number.

761466705131 is a deficient number, since it is larger than the sum of its proper divisors (96071106325).

761466705131 is a wasteful number, since it uses less digits than its factorization.

761466705131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131234.

The product of its (nonzero) digits is 635040, while the sum is 47.

The spelling of 761466705131 in words is "seven hundred sixty-one billion, four hundred sixty-six million, seven hundred five thousand, one hundred thirty-one".

Divisors: 1 11 31 341 20101 111091 221111 623131 1222001 3443821 6854441 37882031 2233040191 24563442101 69224245921 761466705131