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50289628464 = 24334116317419
BaseRepresentation
bin101110110101011111…
…101101010100110000
311210210202210211012000
4232311133231110300
51310443121102324
635034105134000
73430136534415
oct566537552460
9153722724160
1050289628464
111a367203219
1298b5a8a300
134985a78b0a
142610da410c
1514950059c9
hexbb57ed530

50289628464 has 160 divisors (see below), whose sum is σ = 148786310400. Its totient is φ = 16253084160.

The previous prime is 50289628421. The next prime is 50289628481. The reversal of 50289628464 is 46482698205.

50289628464 is a `hidden beast` number, since 5 + 0 + 2 + 8 + 9 + 628 + 4 + 6 + 4 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 50289628464.

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, 2878347 + ... + 2895765.

It is an arithmetic number, because the mean of its divisors is an integer number (929914440).

Almost surely, 250289628464 is an apocalyptic number.

50289628464 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 50289628464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74393155200).

50289628464 is an abundant number, since it is smaller than the sum of its proper divisors (98496681936).

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

50289628464 is a wasteful number, since it uses less digits than its factorization.

50289628464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17640 (or 17628 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 50289628464 in words is "fifty billion, two hundred eighty-nine million, six hundred twenty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 163 164 216 246 326 328 369 432 489 492 652 656 738 978 984 1107 1304 1467 1476 1956 1968 2214 2608 2934 2952 3912 4401 4428 5868 5904 6683 7824 8802 8856 11736 13366 17419 17604 17712 20049 23472 26732 34838 35208 40098 52257 53464 60147 69676 70416 80196 104514 106928 120294 139352 156771 160392 180441 209028 240588 278704 313542 320784 360882 418056 470313 481176 627084 714179 721764 836112 940626 962352 1254168 1428358 1443528 1881252 2142537 2508336 2839297 2856716 2887056 3762504 4285074 5678594 5713432 6427611 7525008 8517891 8570148 11357188 11426864 12855222 17035782 17140296 19282833 22714376 25553673 25710444 34071564 34280592 38565666 45428752 51107346 51420888 68143128 76661019 77131332 102214692 102841776 116411177 136286256 153322038 154262664 204429384 232822354 306644076 308525328 349233531 408858768 465644708 613288152 698467062 931289416 1047700593 1226576304 1396934124 1862578832 2095401186 2793868248 3143101779 4190802372 5587736496 6286203558 8381604744 12572407116 16763209488 25144814232 50289628464