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5168937024 = 26333196493
BaseRepresentation
bin1001101000001011…
…11011100001000000
3111100020021012121000
410310011323201000
541041221441044
62212524132000
7242043145146
oct46405734100
914306235530
105168937024
112212803989
121003097000
13644b5b124
143706b9596
15203bc6d69
hex13417b840

5168937024 has 112 divisors (see below), whose sum is σ = 15686064640. Its totient is φ = 1667381760.

The previous prime is 5168936987. The next prime is 5168937031. The reversal of 5168937024 is 4207398615.

5168937024 is a `hidden beast` number, since 516 + 89 + 37 + 0 + 24 = 666.

5168937024 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5168937024 is strictly pandigital in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5322 + ... + 101814.

It is a 1-persistent number, because it is pandigital, but 2⋅5168937024 = 10337874048 is not.

Almost surely, 25168937024 is an apocalyptic number.

5168937024 is a gapful number since it is divisible by the number (54) 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 5168937024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7843032320).

5168937024 is an abundant number, since it is smaller than the sum of its proper divisors (10517127616).

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

5168937024 is a wasteful number, since it uses less digits than its factorization.

5168937024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96545 (or 96529 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5168937024 is about 71895.3199033150. The cubic root of 5168937024 is about 1729.0215795734.

The spelling of 5168937024 in words is "five billion, one hundred sixty-eight million, nine hundred thirty-seven thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 144 186 192 216 248 279 288 372 432 496 558 576 744 837 864 992 1116 1488 1674 1728 1984 2232 2976 3348 4464 5952 6696 8928 13392 17856 26784 53568 96493 192986 289479 385972 578958 771944 868437 1157916 1543888 1736874 2315832 2605311 2991283 3087776 3473748 4631664 5210622 5982566 6175552 6947496 8973849 9263328 10421244 11965132 13894992 17947698 18526656 20842488 23930264 26921547 27789984 35895396 41684976 47860528 53843094 55579968 71790792 80764641 83369952 95721056 107686188 143581584 161529282 166739904 191442112 215372376 287163168 323058564 430744752 574326336 646117128 861489504 1292234256 1722979008 2584468512 5168937024