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57794475622464 = 2632722047706761
BaseRepresentation
bin11010010010000010100110…
…01100001000000001000000
321120122002122101011112012100
431021001103030020001000
530033401041224404324
6322530225432430400
715113340661151400
oct1511012314100100
9246562571145170
1057794475622464
1117462554876559
126594b58b48400
132632cc362a509
14103b3a6204800
156a35786684c9
hex349053308040

57794475622464 has 126 divisors (see below), whose sum is σ = 192703540251534. Its totient is φ = 16512707312640.

The previous prime is 57794475622447. The next prime is 57794475622469. The reversal of 57794475622464 is 46422657449775.

57794475622464 is a `hidden beast` number, since 5 + 7 + 7 + 94 + 4 + 7 + 56 + 22 + 464 = 666.

It can be written as a sum of positive squares in only one way, i.e., 56189896064064 + 1604579558400 = 7495992^2 + 1266720^2 .

It is a tau number, because it is divible by the number of its divisors (126).

It is a super-2 number, since 2×577944756224642 (a number of 28 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 57794475622392 and 57794475622401.

It is not an unprimeable number, because it can be changed into a prime (57794475622469) 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 17 ways as a sum of consecutive naturals, for example, 1023825157 + ... + 1023881604.

Almost surely, 257794475622464 is an apocalyptic number.

It is an amenable number.

57794475622464 is an abundant number, since it is smaller than the sum of its proper divisors (134909064629070).

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

57794475622464 is a wasteful number, since it uses less digits than its factorization.

57794475622464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047706793 (or 2047706773 counting only the distinct ones).

The product of its digits is 2844979200, while the sum is 72.

The spelling of 57794475622464 in words is "fifty-seven trillion, seven hundred ninety-four billion, four hundred seventy-five million, six hundred twenty-two thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 64 72 84 96 98 112 126 144 147 168 192 196 224 252 288 294 336 392 441 448 504 576 588 672 784 882 1008 1176 1344 1568 1764 2016 2352 3136 3528 4032 4704 7056 9408 14112 28224 2047706761 4095413522 6143120283 8190827044 12286240566 14333947327 16381654088 18429360849 24572481132 28667894654 32763308176 36858721698 43001841981 49144962264 57335789308 65526616352 73717443396 86003683962 98289924528 100337631289 114671578616 129005525943 131053232704 147434886792 172007367924 196579849056 200675262578 229343157232 258011051886 294869773584 301012893867 344014735848 393159698112 401350525156 458686314464 516022103772 589739547168 602025787734 688029471696 802701050312 903038681601 917372628928 1032044207544 1179479094336 1204051575468 1376058943392 1605402100624 1806077363202 2064088415088 2408103150936 2752117886784 3210804201248 3612154726404 4128176830176 4816206301872 6421608402496 7224309452808 8256353660352 9632412603744 14448618905616 19264825207488 28897237811232 57794475622464