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57386707920 = 24325241330721
BaseRepresentation
bin110101011100100000…
…111010101111010000
312111010101012210221200
4311130200322233100
51420011444123140
642210232151200
74101044653233
oct653440725720
9174111183850
1057386707920
1122379334043
12b156838500
135547212109
142ac579141a
15175d0e9030
hexd5c83abd0

57386707920 has 120 divisors (see below), whose sum is σ = 193523962632. Its totient is φ = 15239577600.

The previous prime is 57386707871. The next prime is 57386707933. The reversal of 57386707920 is 2970768375.

57386707920 is a `hidden beast` number, since 573 + 8 + 67 + 0 + 7 + 9 + 2 + 0 = 666.

57386707920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1058331024 + 56328376896 = 32532^2 + 237336^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8160 + ... + 338880.

Almost surely, 257386707920 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 57386707920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96761981316).

57386707920 is an abundant number, since it is smaller than the sum of its proper divisors (136137254712).

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

57386707920 is a wasteful number, since it uses less digits than its factorization.

57386707920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 330981 (or 330972 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 57386707920 in words is "fifty-seven billion, three hundred eighty-six million, seven hundred seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 241 360 482 720 723 964 1205 1446 1928 2169 2410 2892 3615 3856 4338 4820 5784 7230 8676 9640 10845 11568 14460 17352 19280 21690 28920 34704 43380 57840 86760 173520 330721 661442 992163 1322884 1653605 1984326 2645768 2976489 3307210 3968652 4960815 5291536 5952978 6614420 7937304 9921630 11905956 13228840 14882445 15874608 19843260 23811912 26457680 29764890 39686520 47623824 59529780 79373040 79703761 119059560 159407522 238119120 239111283 318815044 398518805 478222566 637630088 717333849 797037610 956445132 1195556415 1275260176 1434667698 1594075220 1912890264 2391112830 2869335396 3188150440 3586669245 3825780528 4782225660 5738670792 6376300880 7173338490 9564451320 11477341584 14346676980 19128902640 28693353960 57386707920