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57478946360640 = 263578553414637
BaseRepresentation
bin11010001000110110111000…
…01011100000110101000000
321112111221012121012021000220
431010123130023200311000
530013213340232020030
6322125244033343040
715051500605530150
oct1504333413406500
9245457177167026
1057478946360640
1117350758824a82
12654397aa07a80
13260c31a4237ac
141029dd286a760
1569a25c99ba10
hex3446dc2e0d40

57478946360640 has 112 divisors (see below), whose sum is σ = 208566462532992. Its totient is φ = 13138044880896.

The previous prime is 57478946360639. The next prime is 57478946360653. The reversal of 57478946360640 is 4606364987475.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4276700599 + ... + 4276714038.

Almost surely, 257478946360640 is an apocalyptic number.

It is an amenable number.

57478946360640 is an abundant number, since it is smaller than the sum of its proper divisors (151087516172352).

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

57478946360640 is a wasteful number, since it uses less digits than its factorization.

57478946360640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8553414664 (or 8553414654 counting only the distinct ones).

The product of its (nonzero) digits is 731566080, while the sum is 69.

The spelling of 57478946360640 in words is "fifty-seven trillion, four hundred seventy-eight billion, nine hundred forty-six million, three hundred sixty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 140 160 168 192 210 224 240 280 320 336 420 448 480 560 672 840 960 1120 1344 1680 2240 3360 6720 8553414637 17106829274 25660243911 34213658548 42767073185 51320487822 59873902459 68427317096 85534146370 102640975644 119747804918 128301219555 136854634192 171068292740 179621707377 205281951288 239495609836 256602439110 273709268384 299369512295 342136585480 359243414754 410563902576 478991219672 513204878220 547418536768 598739024590 684273170960 718486829508 821127805152 898108536885 957982439344 1026409756440 1197478049180 1368546341920 1436973659016 1642255610304 1796217073770 1915964878688 2052819512880 2394956098360 2737092683840 2873947318032 3592434147540 3831929757376 4105639025760 4789912196720 5747894636064 7184868295080 8211278051520 9579824393440 11495789272128 14369736590160 19159648786880 28739473180320 57478946360640