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5700352026681 = 3213229221112
BaseRepresentation
bin101001011110011011101…
…1101010010100000111001
3202011221121100000022222100
41102330313131102200321
51221343310104323211
620042412223014013
71125560015523414
oct122746735224071
922157540008870
105700352026681
1118a8562124aa4
1278092443a309
13324705446a00
14159c81724b7b
159d42c663156
hex52f37752839

5700352026681 has 81 divisors (see below), whose sum is σ = 9238359145197. Its totient is φ = 3385342134720.

The previous prime is 5700352026679. The next prime is 5700352026709. The reversal of 5700352026681 is 1866202530075.

The square root of 5700352026681 is 2387541.

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

5700352026681 is a `hidden beast` number, since 570 + 0 + 3 + 52 + 0 + 26 + 6 + 8 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 730948052025 + 4969403974656 = 854955^2 + 2229216^2 .

It is not a de Polignac number, because 5700352026681 - 21 = 5700352026679 is a prime.

It is a super-2 number, since 2×57003520266812 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5700352026181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2700307816 + ... + 2700309926.

Almost surely, 25700352026681 is an apocalyptic number.

5700352026681 is the 2387541-st square number.

5700352026681 is the 1193771-st centered octagonal number.

It is an amenable number.

5700352026681 is a deficient number, since it is larger than the sum of its proper divisors (3538007118516).

5700352026681 is an equidigital number, since it uses as much as digits as its factorization.

5700352026681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4312 (or 2156 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5700352026681 in words is "five trillion, seven hundred billion, three hundred fifty-two million, twenty-six thousand, six hundred eighty-one".

Divisors: 1 3 9 13 29 39 87 117 169 261 377 507 841 1131 1521 2111 2523 3393 4901 6333 7569 10933 14703 18999 27443 32799 44109 61219 82329 98397 142129 183657 246987 356759 426387 550971 795847 1070277 1279161 1775351 2387541 3210831 4456321 5326053 7162623 10346011 13368963 15978159 23079563 31038033 40106889 57932173 69238689 93114099 129233309 173796519 207716067 300034319 387699927 521389557 753118249 900102957 1163099781 1680033017 2259354747 2700308871 3747765961 5040099051 6778064241 11243297883 15120297153 21840429221 33729893649 48720957493 65521287663 146162872479 196563862989 438488617437 633372447409 1900117342227 5700352026681