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261701734401 = 3229077970489
BaseRepresentation
bin1111001110111010100…
…0111001000000000001
3221000111102222112222200
43303232220321000001
513241431121000101
6320120224223413
724623133016332
oct3635650710001
9830442875880
10261701734401
11a0a94896528
124287746ab69
131b8a84b21a3
14c94898c289
156c1a2be986
hex3ceea39001

261701734401 has 6 divisors (see below), whose sum is σ = 378013616370. Its totient is φ = 174467822928.

The previous prime is 261701734331. The next prime is 261701734409. The reversal of 261701734401 is 104437107162.

261701734401 is a `hidden beast` number, since 2 + 617 + 0 + 1 + 7 + 34 + 4 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157927554801 + 103774179600 = 397401^2 + 322140^2 .

It is not a de Polignac number, because 261701734401 - 29 = 261701733889 is a prime.

It is not an unprimeable number, because it can be changed into a prime (261701734409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14538985236 + ... + 14538985253.

It is an arithmetic number, because the mean of its divisors is an integer number (63002269395).

Almost surely, 2261701734401 is an apocalyptic number.

It is an amenable number.

261701734401 is a deficient number, since it is larger than the sum of its proper divisors (116311881969).

261701734401 is a wasteful number, since it uses less digits than its factorization.

261701734401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29077970495 (or 29077970492 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 261701734401 in words is "two hundred sixty-one billion, seven hundred one million, seven hundred thirty-four thousand, four hundred one".

Divisors: 1 3 9 29077970489 87233911467 261701734401