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6607437137004 = 223111921279108413
BaseRepresentation
bin110000000100110100111…
…1100011000010001101100
3212101122221122200022102010
41200021221330120101230
51331224012401341004
622015225325001220
71251241310662314
oct140115174302154
925348848608363
106607437137004
112118220010070
128a86953b3210
1338c103a38192
1418bb31aa0444
15b6d1bbbba89
hex60269f1846c

6607437137004 has 144 divisors (see below), whose sum is σ = 17764770078720. Its totient is φ = 1895371332480.

The previous prime is 6607437136999. The next prime is 6607437137033. The reversal of 6607437137004 is 4007317347066.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60892702 + ... + 61001114.

It is an arithmetic number, because the mean of its divisors is an integer number (123366458880).

Almost surely, 26607437137004 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 6607437137004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8882385039360).

6607437137004 is an abundant number, since it is smaller than the sum of its proper divisors (11157332941716).

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

6607437137004 is a wasteful number, since it uses less digits than its factorization.

6607437137004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109748 (or 109727 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 48.

The spelling of 6607437137004 in words is "six trillion, six hundred seven billion, four hundred thirty-seven million, one hundred thirty-seven thousand, four".

Divisors: 1 2 3 4 6 11 12 19 22 33 38 44 57 66 76 114 132 209 228 361 418 627 722 836 1083 1254 1279 1444 2166 2508 2558 3837 3971 4332 5116 7674 7942 11913 14069 15348 15884 23826 24301 28138 42207 47652 48602 56276 72903 84414 97204 108413 145806 168828 216826 267311 291612 325239 433652 461719 534622 650478 801933 923438 1069244 1192543 1300956 1385157 1603866 1846876 2059847 2385086 2770314 3207732 3577629 4119694 4770172 5078909 5540628 6179541 7155258 8239388 10157818 12359082 14310516 15236727 20315636 22658317 24718164 30473454 39137093 45316634 60946908 67974951 78274186 90633268 117411279 135949902 138660227 156548372 234822558 271899804 277320454 415980681 430508023 469645116 554640908 831961362 861016046 1291524069 1525262497 1663922724 1722032092 2583048138 2634544313 3050524994 4575787491 5166096276 5269088626 6101049988 7903632939 9151574982 10538177252 15807265878 18303149964 28979987443 31614531756 50056341947 57959974886 86939962329 100112683894 115919949772 150169025841 173879924658 200225367788 300338051682 347759849316 550619761417 600676103364 1101239522834 1651859284251 2202479045668 3303718568502 6607437137004