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379819660029696 = 2832367214489319
BaseRepresentation
bin101011001011100011010011…
…1111010100010111100000000
31211210211101221011022220122200
41112113012213322202330000
5344240431130431422241
63423450424253233200
7143001031152265305
oct12627064772427400
91753741834286580
10379819660029696
11100027682232797
1236723717792800
13133c1ac006b823
1469b15263b50ac
152dd9eaacd74b6
hex15971a7ea2f00

379819660029696 has 108 divisors (see below), whose sum is σ = 1095143782452720. Its totient is φ = 126603077345280.

The previous prime is 379819660029679. The next prime is 379819660029697. The reversal of 379819660029696 is 696920066918973.

379819660029696 is a `hidden beast` number, since 379 + 8 + 19 + 6 + 60 + 0 + 2 + 96 + 96 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379819660029697) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 82360525 + ... + 86849843.

Almost surely, 2379819660029696 is an apocalyptic number.

379819660029696 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

379819660029696 is an abundant number, since it is smaller than the sum of its proper divisors (715324122423024).

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

379819660029696 is a wasteful number, since it uses less digits than its factorization.

379819660029696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4526062 (or 4526045 counting only the distinct ones).

The product of its (nonzero) digits is 2857026816, while the sum is 81.

The spelling of 379819660029696 in words is "three hundred seventy-nine trillion, eight hundred nineteen billion, six hundred sixty million, twenty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 36721 73442 110163 146884 220326 293768 330489 440652 587536 660978 881304 1175072 1321956 1762608 2350144 2643912 3525216 4489319 4700288 5287824 7050432 8978638 9400576 10575648 13467957 14100864 17957276 21151296 26935914 28201728 35914552 40403871 42302592 53871828 71829104 80807742 84605184 107743656 143658208 161615484 215487312 287316416 323230968 430974624 574632832 646461936 861949248 1149265664 1292923872 1723898496 2585847744 3447796992 5171695488 10343390976 164852282999 329704565998 494556848997 659409131996 989113697994 1318818263992 1483670546991 1978227395988 2637636527984 2967341093982 3956454791976 5275273055968 5934682187964 7912909583952 10550546111936 11869364375928 15825819167904 21101092223872 23738728751856 31651638335808 42202184447744 47477457503712 63303276671616 94954915007424 126606553343232 189909830014848 379819660029696