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57995235684 = 22341727872
BaseRepresentation
bin110110000000110010…
…010001000101100100
312112200210021020010000
4312000302101011210
51422233240020214
642350451101300
74122114240531
oct660062210544
9175623236100
1057995235684
1122660886a51
12b2a65a1830
135613305409
142b42517d88
15179674d809
hexd80c91164

57995235684 has 135 divisors (see below), whose sum is σ = 161258804553. Its totient is φ = 18171464832.

The previous prime is 57995235679. The next prime is 57995235689. The reversal of 57995235684 is 48653259975.

The square root of 57995235684 is 240822.

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

57995235684 is a `hidden beast` number, since 57 + 9 + 9 + 523 + 56 + 8 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (57995235679) and next prime (57995235689).

It can be written as a sum of positive squares in only one way, i.e., 45152000100 + 12843235584 = 212490^2 + 113328^2 .

It is not an unprimeable number, because it can be changed into a prime (57995235689) 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 44 ways as a sum of consecutive naturals, for example, 73691139 + ... + 73691925.

Almost surely, 257995235684 is an apocalyptic number.

57995235684 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

57995235684 is the 240822-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57995235684

57995235684 is an abundant number, since it is smaller than the sum of its proper divisors (103263568869).

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

57995235684 is an equidigital number, since it uses as much as digits as its factorization.

57995235684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1624 (or 809 counting only the distinct ones).

The product of its digits is 81648000, while the sum is 63.

The spelling of 57995235684 in words is "fifty-seven billion, nine hundred ninety-five million, two hundred thirty-five thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 81 102 108 153 162 204 289 306 324 459 578 612 787 867 918 1156 1377 1574 1734 1836 2361 2601 2754 3148 3468 4722 5202 5508 7083 7803 9444 10404 13379 14166 15606 21249 23409 26758 28332 31212 40137 42498 46818 53516 63747 80274 84996 93636 120411 127494 160548 227443 240822 254988 361233 454886 481644 619369 682329 722466 909772 1083699 1238738 1364658 1444932 1858107 2046987 2167398 2477476 2729316 3716214 4093974 4334796 5574321 6140961 7432428 8187948 10529273 11148642 12281922 16722963 18422883 21058546 22297284 24563844 31587819 33445926 36845766 42117092 50168889 63175638 66891852 73691532 94763457 100337778 126351276 178997641 189526914 200675556 284290371 357995282 379053828 536992923 568580742 715990564 852871113 1073985846 1137161484 1610978769 1705742226 2147971692 3221957538 3411484452 4832936307 6443915076 9665872614 14498808921 19331745228 28997617842 57995235684