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133480363383960 = 233518611390742979
BaseRepresentation
bin11110010110011001010001…
…101001001101110010011000
3122111121121011000201211021220
4132112121101221031302120
5114443420241011241320
61151520010555532040
740054431560310615
oct3626312151156230
9574547130654256
10133480363383960
11395927823390aa
1212b7947b75a020
1359631b4c19308
1424d66ac38550c
1510671e5a33e40
hex796651a4dc98

133480363383960 has 128 divisors (see below), whose sum is σ = 400694397868800. Its totient is φ = 35572251087360.

The previous prime is 133480363383911. The next prime is 133480363383989. The reversal of 133480363383960 is 69383363084331.

It is a super-2 number, since 2×1334803633839602 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 133480363383894 and 133480363383903.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3105689751 + ... + 3105732729.

It is an arithmetic number, because the mean of its divisors is an integer number (3130424983350).

Almost surely, 2133480363383960 is an apocalyptic number.

133480363383960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133480363383960 is an abundant number, since it is smaller than the sum of its proper divisors (267214034484840).

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

133480363383960 is a wasteful number, since it uses less digits than its factorization.

133480363383960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58761 (or 58757 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 60.

The spelling of 133480363383960 in words is "one hundred thirty-three trillion, four hundred eighty billion, three hundred sixty-three million, three hundred eighty-three thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1861 3722 5583 7444 9305 11166 13907 14888 18610 22332 27814 27915 37220 41721 42979 44664 55628 55830 69535 74440 83442 85958 111256 111660 128937 139070 166884 171916 208605 214895 223320 257874 278140 333768 343832 417210 429790 515748 556280 644685 834420 859580 1031496 1289370 1668840 1719160 2578740 5157480 25880927 51761854 77642781 79983919 103523708 129404635 155285562 159967838 207047416 239951757 258809270 310571124 319935676 388213905 399919595 479903514 517618540 597708953 621142248 639871352 776427810 799839190 959807028 1035237080 1195417906 1199758785 1552855620 1599678380 1793126859 1919614056 2390835812 2399517570 2988544765 3105711240 3199356760 3586253718 4781671624 4799035140 5977089530 7172507436 8965634295 9598070280 11954179060 14345014872 17931268590 23908358120 35862537180 71725074360 1112336361533 2224672723066 3337009084599 4449345446132 5561681807665 6674018169198 8898690892264 11123363615330 13348036338396 16685045422995 22246727230660 26696072676792 33370090845990 44493454461320 66740181691980 133480363383960