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25681664373264 = 24324223092
BaseRepresentation
bin1011101011011011110100…
…11110110111001000010000
310100221010212100100200110100
411311231322132313020100
511331232022034421024
6130341554351532400
75260303404243624
oct565557236671020
9110833770320410
1025681664373264
118201595023469
122a6934152a100
131143a02bc1753
1464addbab3184
152e808baab7c9
hex175b7a7b7210

25681664373264 has 45 divisors (see below), whose sum is σ = 71873161457773. Its totient is φ = 8560534520256.

The previous prime is 25681664373241. The next prime is 25681664373331. The reversal of 25681664373264 is 46237346618652.

The square root of 25681664373264 is 5067708.

It is a perfect power (a square), and thus also a powerful number.

25681664373264 is a `hidden beast` number, since 2 + 5 + 6 + 8 + 166 + 437 + 32 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18552764373264 + 7128900000000 = 4307292^2 + 2670000^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 60601342 + ... + 61023650.

Almost surely, 225681664373264 is an apocalyptic number.

25681664373264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

25681664373264 is the 5067708-th square number.

It is an amenable number.

25681664373264 is an abundant number, since it is smaller than the sum of its proper divisors (46191497084509).

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

25681664373264 is an frugal number, since it uses more digits than its factorization.

25681664373264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844632 (or 422314 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 63.

The spelling of 25681664373264 in words is "twenty-five trillion, six hundred eighty-one billion, six hundred sixty-four million, three hundred seventy-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 422309 844618 1266927 1689236 2533854 3378472 3800781 5067708 6756944 7601562 10135416 15203124 20270832 30406248 60812496 178344891481 356689782962 535034674443 713379565924 1070069348886 1426759131848 1605104023329 2140138697772 2853518263696 3210208046658 4280277395544 6420416093316 8560554791088 12840832186632 25681664373264