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6137022906912 = 253731049834811
BaseRepresentation
bin101100101001110001100…
…0100100000001000100000
3210201200201200022102200110
41121103203010200020200
51301022110331010122
621015150455251320
71202246102001612
oct131234304401040
923650650272613
106137022906912
111a56773491487
12831490679b40
133569461cab41
14173067c98db2
15a998863c90c
hex594e3120220

6137022906912 has 96 divisors (see below), whose sum is σ = 16345952884800. Its totient is φ = 2015725547520.

The previous prime is 6137022906901. The next prime is 6137022906947. The reversal of 6137022906912 is 2196092207316.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×61370229069122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6933987 + ... + 7768797.

It is an arithmetic number, because the mean of its divisors is an integer number (170270342550).

Almost surely, 26137022906912 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 6137022906912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8172976442400).

6137022906912 is an abundant number, since it is smaller than the sum of its proper divisors (10208929977888).

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

6137022906912 is a wasteful number, since it uses less digits than its factorization.

6137022906912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 835946 (or 835938 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The spelling of 6137022906912 in words is "six trillion, one hundred thirty-seven billion, twenty-two million, nine hundred six thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1049 1168 1752 2098 2336 3147 3504 4196 6294 7008 8392 12588 16784 25176 33568 50352 76577 100704 153154 229731 306308 459462 612616 834811 918924 1225232 1669622 1837848 2450464 2504433 3339244 3675696 5008866 6678488 7351392 10017732 13356976 20035464 26713952 40070928 60941203 80141856 121882406 182823609 243764812 365647218 487529624 731294436 875716739 975059248 1462588872 1751433478 1950118496 2627150217 2925177744 3502866956 5254300434 5850355488 7005733912 10508600868 14011467824 21017201736 28022935648 42034403472 63927321947 84068806944 127854643894 191781965841 255709287788 383563931682 511418575576 767127863364 1022837151152 1534255726728 2045674302304 3068511453456 6137022906912