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57214726416 = 24323126432
BaseRepresentation
bin110101010010010000…
…110111000100010000
312110200101121020200100
4311102100313010100
51414133432221131
642141210052400
74063556102361
oct652220670420
9173611536610
1057214726416
11222a0248871
12b10911a100
13551a6b7c03
142aaa9c3b68
15174ce767e6
hexd52437110

57214726416 has 135 divisors (see below), whose sum is σ = 165711322647. Its totient is φ = 18427659840.

The previous prime is 57214726403. The next prime is 57214726417. The reversal of 57214726416 is 61462741275.

The square root of 57214726416 is 239196.

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

57214726416 is a `hidden beast` number, since 5 + 72 + 147 + 26 + 416 = 666.

It is not an unprimeable number, because it can be changed into a prime (57214726417) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 88980591 + ... + 88981233.

Almost surely, 257214726416 is an apocalyptic number.

57214726416 is the 239196-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57214726416

57214726416 is an abundant number, since it is smaller than the sum of its proper divisors (108496596231).

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

57214726416 is an equidigital number, since it uses as much as digits as its factorization.

57214726416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1362 (or 679 counting only the distinct ones).

The product of its digits is 564480, while the sum is 45.

The spelling of 57214726416 in words is "fifty-seven billion, two hundred fourteen million, seven hundred twenty-six thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 643 744 961 1116 1286 1488 1922 1929 2232 2572 2883 3844 3858 4464 5144 5766 5787 7688 7716 8649 10288 11532 11574 15376 15432 17298 19933 23064 23148 30864 34596 39866 46128 46296 59799 69192 79732 92592 119598 138384 159464 179397 239196 318928 358794 413449 478392 617923 717588 826898 956784 1235846 1240347 1435176 1653796 1853769 2471692 2480694 2870352 3307592 3707538 3721041 4943384 4961388 5561307 6615184 7415076 7442082 9886768 9922776 11122614 12816919 14830152 14884164 19845552 22245228 25633838 29660304 29768328 38450757 44490456 51267676 59536656 76901514 88980912 102535352 115352271 153803028 205070704 230704542 307606056 397324489 461409084 615212112 794648978 922818168 1191973467 1589297956 1845636336 2383946934 3178595912 3575920401 4767893868 6357191824 7151840802 9535787736 14303681604 19071575472 28607363208 57214726416