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102853990266328 = 23747313577216379
BaseRepresentation
bin10111011000101110001111…
…100011011011010111011000
3111111011202010102111211020001
4113120232033203123113120
5101440124433002010303
61002430245410542344
730443645522141530
oct2730561743332730
9444152112454201
10102853990266328
112a85515011a974
12b6519612979b4
134551121cba822
141b582342964c0
15bd57058d531d
hex5d8b8f8db5d8

102853990266328 has 128 divisors (see below), whose sum is σ = 226202336409600. Its totient is φ = 42929838342144.

The previous prime is 102853990266311. The next prime is 102853990266361. The reversal of 102853990266328 is 823662099358201.

It is a self number, because there is not a number n which added to its sum of digits gives 102853990266328.

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, 475233643 + ... + 475450021.

It is an arithmetic number, because the mean of its divisors is an integer number (1767205753200).

Almost surely, 2102853990266328 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 102853990266328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113101168204800).

102853990266328 is an abundant number, since it is smaller than the sum of its proper divisors (123348346143272).

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

102853990266328 is a wasteful number, since it uses less digits than its factorization.

102853990266328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217329 (or 217325 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 64.

The spelling of 102853990266328 in words is "one hundred two trillion, eight hundred fifty-three billion, nine hundred ninety million, two hundred sixty-six thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 313 329 376 577 626 658 1154 1252 1316 2191 2308 2504 2632 4039 4382 4616 8078 8764 14711 16156 17528 27119 29422 32312 54238 58844 102977 108476 117688 180601 189833 205954 216379 216952 361202 379666 411908 432758 722404 759332 823816 865516 1264207 1444808 1514653 1518664 1731032 2528414 3029306 5056828 6058612 8488247 10113656 10169813 12117224 16976494 20339626 33952988 40679252 59417729 67726627 67905976 71188691 81358504 118835458 124850683 135453254 142377382 237670916 249701366 270906508 284754764 474086389 475341832 499402732 541813016 569509528 873954781 948172778 998805464 1747909562 1896345556 3183151469 3495819124 3792691112 5867982101 6366302938 6991638248 11735964202 12732605876 22282060283 23471928404 25465211752 39078263779 41075874707 44564120566 46943856808 78156527558 82151749414 89128241132 156313055116 164303498828 178256482264 273547846453 312626110232 328606997656 547095692906 1094191385812 1836678397613 2188382771624 3673356795226 7346713590452 12856748783291 14693427180904 25713497566582 51426995133164 102853990266328