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104251556669418 = 235375879876577
BaseRepresentation
bin10111101101000011110101…
…000000001010011111101010
3111200010100111020021002100000
4113231003311000022133222
5102131024142001410133
61005420300505123430
730646632521436054
oct2755036500123752
9450110436232300
10104251556669418
11302439229a8844
12b838797489576
134622b58674812
141ba5b335b88d4
15c0bc50084413
hex5ed0f500a7ea

104251556669418 has 96 divisors (see below), whose sum is σ = 240985026644544. Its totient is φ = 33753712061952.

The previous prime is 104251556669399. The next prime is 104251556669453. The reversal of 104251556669418 is 814966655152401.

It is a happy number.

104251556669418 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×1042515566694183 (a number of 43 digits) contains 333 as substring.

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, 5617146 + ... + 15493722.

It is an arithmetic number, because the mean of its divisors is an integer number (2510260694214).

Almost surely, 2104251556669418 is an apocalyptic number.

104251556669418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104251556669418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120492513322272).

104251556669418 is an abundant number, since it is smaller than the sum of its proper divisors (136733469975126).

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

104251556669418 is an equidigital number, since it uses as much as digits as its factorization.

104251556669418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9877218 (or 9877206 counting only the distinct ones).

The product of its (nonzero) digits is 62208000, while the sum is 63.

The spelling of 104251556669418 in words is "one hundred four trillion, two hundred fifty-one billion, five hundred fifty-six million, six hundred sixty-nine thousand, four hundred eighteen".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 243 333 486 587 666 999 1174 1761 1998 2997 3522 5283 5994 8991 10566 15849 17982 21719 31698 43438 47547 65157 95094 130314 142641 195471 285282 390942 586413 1172826 1759239 3518478 5277717 9876577 10555434 19753154 29629731 59259462 88889193 177778386 266667579 365433349 533335158 730866698 800002737 1096300047 1600005474 2192600094 2400008211 3288900141 4800016422 5797550699 6577800282 9866700423 11595101398 17392652097 19733400846 29600101269 34785304194 52177956291 59200202538 88800303807 104355912582 156533868873 177600607614 214509375863 313067737746 429018751726 469601606619 643528127589 939203213238 1287056255178 1408804819857 1930584382767 2817609639714 3861168765534 5791753148301 11583506296602 17375259444903 34750518889806 52125778334709 104251556669418