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57318105744 = 24327122812
BaseRepresentation
bin110101011000011011…
…001110001010010000
312110221121010110110100
4311120123032022100
51414341413340434
642155341532400
74066252601004
oct653033161220
9173847113410
1057318105744
1122343638229
12b137874100
135535c42903
142aba614704
151757097699
hexd586ce290

57318105744 has 135 divisors (see below), whose sum is σ = 163283291977. Its totient is φ = 18769900800.

The previous prime is 57318105731. The next prime is 57318105751. The reversal of 57318105744 is 44750181375.

The square root of 57318105744 is 239412.

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

57318105744 is a `hidden beast` number, since 5 + 73 + 1 + 8 + 1 + 0 + 574 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38734963344 + 18583142400 = 196812^2 + 136320^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 57318105744.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 203978884 + ... + 203979164.

Almost surely, 257318105744 is an apocalyptic number.

57318105744 is the 239412-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57318105744

57318105744 is an abundant number, since it is smaller than the sum of its proper divisors (105965186233).

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

57318105744 is an equidigital number, since it uses as much as digits as its factorization.

57318105744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 357 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 45.

The spelling of 57318105744 in words is "fifty-seven billion, three hundred eighteen million, one hundred five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 281 284 426 562 568 639 843 852 1124 1136 1278 1686 1704 2248 2529 2556 3372 3408 4496 5041 5058 5112 6744 10082 10116 10224 13488 15123 19951 20164 20232 30246 39902 40328 40464 45369 59853 60492 78961 79804 80656 90738 119706 120984 157922 159608 179559 181476 236883 239412 241968 315844 319216 359118 362952 473766 478824 631688 710649 718236 725904 947532 957648 1263376 1416521 1421298 1436472 1895064 2833042 2842596 2872944 3790128 4249563 5606231 5666084 5685192 8499126 11212462 11332168 11370384 12748689 16818693 16998252 22424924 22664336 25497378 33637386 33996504 44849848 50456079 50994756 67274772 67993008 89699696 100912158 101989512 134549544 201824316 203979024 269099088 398042401 403648632 796084802 807297264 1194127203 1592169604 2388254406 3184339208 3582381609 4776508812 6368678416 7164763218 9553017624 14329526436 19106035248 28659052872 57318105744