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261457065640 = 2359613679957
BaseRepresentation
bin1111001110000000001…
…1100011011010101000
3220222212101121002112201
43303200003203122220
513240431002100030
6320040044145544
724614102250331
oct3634003433250
9828771532481
10261457065640
11a0979774241
12428095382b4
131b8698b8284
14c92429d288
156c03a902ca
hex3ce00e36a8

261457065640 has 32 divisors (see below), whose sum is σ = 588340459080. Its totient is φ = 104571793152.

The previous prime is 261457065563. The next prime is 261457065673. The reversal of 261457065640 is 46560754162.

It can be written as a sum of positive squares in 4 ways, for example, as 250842708964 + 10614356676 = 500842^2 + 103026^2 .

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 44542 + ... + 724498.

Almost surely, 2261457065640 is an apocalyptic number.

261457065640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

261457065640 is an abundant number, since it is smaller than the sum of its proper divisors (326883393440).

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

261457065640 is a wasteful number, since it uses less digits than its factorization.

261457065640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 689581 (or 689577 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 46.

The spelling of 261457065640 in words is "two hundred sixty-one billion, four hundred fifty-seven million, sixty-five thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 20 40 9613 19226 38452 48065 76904 96130 192260 384520 679957 1359914 2719828 3399785 5439656 6799570 13599140 27198280 6536426641 13072853282 26145706564 32682133205 52291413128 65364266410 130728532820 261457065640