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480876770634372 = 223372272802116231
BaseRepresentation
bin110110101010110101101100…
…1000110000010101010000100
32100001122100222221202011221000
41231111223121012002222010
51001012141111240244442
64422423423321053300
7203201125442352330
oct15525533106025204
92301570887664830
10480876770634372
1112a2497696563a2
1245b25181627230
131784263c4105b8
1486a67ba46c7c0
153a8da95a78d4c
hex1b55ad9182a84

480876770634372 has 96 divisors (see below), whose sum is σ = 1431096802007040. Its totient is φ = 136788105883680.

The previous prime is 480876770634367. The next prime is 480876770634389. The reversal of 480876770634372 is 273436077678084.

480876770634372 is a `hidden beast` number, since 4 + 8 + 0 + 8 + 7 + 67 + 70 + 63 + 437 + 2 = 666.

It is a super-3 number, since 3×4808767706343723 (a number of 45 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 480876770634372.

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, 1400886504 + ... + 1401229727.

It is an arithmetic number, because the mean of its divisors is an integer number (14907258354240).

Almost surely, 2480876770634372 is an apocalyptic number.

480876770634372 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

480876770634372 is an abundant number, since it is smaller than the sum of its proper divisors (950220031372668).

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

480876770634372 is a wasteful number, since it uses less digits than its factorization.

480876770634372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2802116478 (or 2802116470 counting only the distinct ones).

The product of its (nonzero) digits is 1593188352, while the sum is 72.

The spelling of 480876770634372 in words is "four hundred eighty trillion, eight hundred seventy-six billion, seven hundred seventy million, six hundred thirty-four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 227 252 378 454 681 756 908 1362 1589 2043 2724 3178 4086 4767 6129 6356 8172 9534 12258 14301 19068 24516 28602 42903 57204 85806 171612 2802116231 5604232462 8406348693 11208464924 16812697386 19614813617 25219046079 33625394772 39229627234 50438092158 58844440851 75657138237 78459254468 100876184316 117688881702 151314276474 176533322553 235377763404 302628552948 353066645106 529599967659 636080384437 706133290212 1059199935318 1272160768874 1908241153311 2118399870636 2544321537748 3816482306622 4452562691059 5724723459933 7632964613244 8905125382118 11449446919866 13357688073177 17174170379799 17810250764236 22898893839732 26715376146354 34348340759598 40073064219531 53430752292708 68696681519196 80146128439062 120219192658593 160292256878124 240438385317186 480876770634372