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264656656461 = 3792774031389
BaseRepresentation
bin1111011001111011000…
…1000001100001001101
3221022010101012011000110
43312132301001201031
513314004101001321
6321325342350233
725056303314421
oct3663661014115
9838111164013
10264656656461
11a227086817a
1243360b8b379
131bc59742792
14cb491bcb81
156d3e90c176
hex3d9ec4184d

264656656461 has 16 divisors (see below), whose sum is σ = 358632454400. Its totient is φ = 173575441728.

The previous prime is 264656656457. The next prime is 264656656559. The reversal of 264656656461 is 164656656462.

264656656461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 264656656461 - 22 = 264656656457 is a prime.

It is a super-3 number, since 3×2646566564613 (a number of 35 digits) contains 333 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (264656656261) 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, 1950046 + ... + 2081343.

It is an arithmetic number, because the mean of its divisors is an integer number (22414528400).

Almost surely, 2264656656461 is an apocalyptic number.

It is an amenable number.

264656656461 is a deficient number, since it is larger than the sum of its proper divisors (93975797939).

264656656461 is a wasteful number, since it uses less digits than its factorization.

264656656461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4031748.

The product of its digits is 37324800, while the sum is 57.

Subtracting from 264656656461 its reverse (164656656462), we obtain a palindrome (99999999999).

The spelling of 264656656461 in words is "two hundred sixty-four billion, six hundred fifty-six million, six hundred fifty-six thousand, four hundred sixty-one".

Divisors: 1 3 79 237 277 831 21883 65649 4031389 12094167 318479731 955439193 1116694753 3350084259 88218885487 264656656461