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5691920976 = 243372517499
BaseRepresentation
bin1010100110100001…
…11101001001010000
3112200200100112201000
411103100331021100
543124112432401
62340445342000
7261023346540
oct52320751120
915620315630
105691920976
112460a39525
12112a267900
136c92cc8a1
143bdd35320
15234a80186
hex15343d250

5691920976 has 160 divisors (see below), whose sum is σ = 18748800000. Its totient is φ = 1619568000.

The previous prime is 5691920933. The next prime is 5691920999. The reversal of 5691920976 is 6790291965.

5691920976 is a `hidden beast` number, since 569 + 1 + 9 + 2 + 0 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 755275 + ... + 762773.

It is an arithmetic number, because the mean of its divisors is an integer number (117180000).

Almost surely, 25691920976 is an apocalyptic number.

5691920976 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5691920976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9374400000).

5691920976 is an abundant number, since it is smaller than the sum of its proper divisors (13056879024).

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

5691920976 is a wasteful number, since it uses less digits than its factorization.

5691920976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7774 (or 7762 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 5691920976 is about 75444.8207367477. The cubic root of 5691920976 is about 1785.4716301951.

The spelling of 5691920976 in words is "five billion, six hundred ninety-one million, nine hundred twenty thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 48 54 56 63 72 84 108 112 126 144 168 189 216 251 252 336 378 432 502 504 753 756 1004 1008 1506 1512 1757 2008 2259 3012 3024 3514 4016 4518 5271 6024 6777 7028 7499 9036 10542 12048 13554 14056 14998 15813 18072 21084 22497 27108 28112 29996 31626 36144 42168 44994 47439 52493 54216 59992 63252 67491 84336 89988 94878 104986 108432 119984 126504 134982 157479 179976 189756 202473 209972 253008 269964 314958 359952 379512 404946 419944 472437 539928 629916 759024 809892 839888 944874 1079856 1259832 1417311 1619784 1882249 1889748 2519664 2834622 3239568 3764498 3779496 5646747 5669244 7528996 7558992 11293494 11338488 13175743 15057992 16940241 22586988 22676976 26351486 30115984 33880482 39527229 45173976 50820723 52702972 67760964 79054458 90347952 101641446 105405944 118581687 135521928 158108916 203282892 210811888 237163374 271043856 316217832 355745061 406565784 474326748 632435664 711490122 813131568 948653496 1422980244 1897306992 2845960488 5691920976