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5251383657 = 341317293357
BaseRepresentation
bin1001110010000000…
…11100000101101001
3111112222101221010000
410321000130011221
541223323234112
62225031213213
7244064011302
oct47100340551
914488357100
105251383657
1122552a62a3
121026817209
13658c67010
1437b61b7a9
1520b0607dc
hex13901c169

5251383657 has 40 divisors (see below), whose sum is σ = 8945072136. Its totient is φ = 3041515008.

The previous prime is 5251383653. The next prime is 5251383659. The reversal of 5251383657 is 7563831525.

5251383657 is a `hidden beast` number, since 5 + 2 + 513 + 83 + 6 + 57 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2126685456 + 3124698201 = 46116^2 + 55899^2 .

It is not a de Polignac number, because 5251383657 - 22 = 5251383653 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5251383653) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 128778 + ... + 164579.

Almost surely, 25251383657 is an apocalyptic number.

It is an amenable number.

5251383657 is a deficient number, since it is larger than the sum of its proper divisors (3693688479).

5251383657 is a wasteful number, since it uses less digits than its factorization.

5251383657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293399 (or 293390 counting only the distinct ones).

The product of its digits is 756000, while the sum is 45.

The square root of 5251383657 is about 72466.4312423345. The cubic root of 5251383657 is about 1738.1659956537.

The spelling of 5251383657 in words is "five billion, two hundred fifty-one million, three hundred eighty-three thousand, six hundred fifty-seven".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 221 351 459 663 1053 1377 1989 5967 17901 293357 880071 2640213 3813641 4987069 7920639 11440923 14961207 23761917 34322769 44883621 64831897 102968307 134650863 194495691 308904921 403952589 583487073 1750461219 5251383657