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57714332520 = 233513201118397
BaseRepresentation
bin110101110000000010…
…101101001101101000
312111222012200212102010
4311300002231031220
51421144332120040
642302534235520
74112133506055
oct656002551550
9174865625363
1057714332520
1122527266279
12b2284b5ba0
13559a062920
142b170b602c
15177bc62e80
hexd700ad368

57714332520 has 128 divisors (see below), whose sum is σ = 186564551040. Its totient is φ = 14198768640.

The previous prime is 57714332477. The next prime is 57714332549. The reversal of 57714332520 is 2523341775.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3127962 + ... + 3146358.

It is an arithmetic number, because the mean of its divisors is an integer number (1457535555).

Almost surely, 257714332520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 57714332520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93282275520).

57714332520 is an abundant number, since it is smaller than the sum of its proper divisors (128850218520).

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

57714332520 is a wasteful number, since it uses less digits than its factorization.

57714332520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20435 (or 20431 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 39.

The spelling of 57714332520 in words is "fifty-seven billion, seven hundred fourteen million, three hundred thirty-two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2011 4022 6033 8044 10055 12066 16088 18397 20110 24132 26143 30165 36794 40220 48264 52286 55191 60330 73588 78429 80440 91985 104572 110382 120660 130715 147176 156858 183970 209144 220764 239161 241320 261430 275955 313716 367940 392145 441528 478322 522860 551910 627432 717483 735880 784290 956644 1045720 1103820 1195805 1434966 1568580 1913288 2207640 2391610 2869932 3137160 3587415 4783220 5739864 7174830 9566440 14349660 28699320 36996367 73992734 110989101 147985468 184981835 221978202 295970936 369963670 443956404 480952771 554945505 739927340 887912808 961905542 1109891010 1442858313 1479854680 1923811084 2219782020 2404763855 2885716626 3847622168 4439564040 4809527710 5771433252 7214291565 9619055420 11542866504 14428583130 19238110840 28857166260 57714332520