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10485533880 = 23325157185519
BaseRepresentation
bin10011100001111110…
…01000110010111000
31000001202101022101200
421300333020302320
5132433244041010
64452245214200
7520561365423
oct116077106270
930052338350
1010485533880
1144a08a0888
122047701360
13cb1478c23
147168309ba
15415819cc0
hex270fc8cb8

10485533880 has 96 divisors (see below), whose sum is σ = 34295227200. Its totient is φ = 2778317568.

The previous prime is 10485533869. The next prime is 10485533909. The reversal of 10485533880 is 8833558401.

10485533880 is a `hidden beast` number, since 10 + 4 + 8 + 553 + 3 + 8 + 80 = 666.

10485533880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36240 + ... + 149279.

It is an arithmetic number, because the mean of its divisors is an integer number (357241950).

Almost surely, 210485533880 is an apocalyptic number.

10485533880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10485533880 is an abundant number, since it is smaller than the sum of its proper divisors (23809693320).

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

10485533880 is a wasteful number, since it uses less digits than its factorization.

10485533880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185693 (or 185686 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 10485533880 in words is "ten billion, four hundred eighty-five million, five hundred thirty-three thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 157 180 314 360 471 628 785 942 1256 1413 1570 1884 2355 2826 3140 3768 4710 5652 6280 7065 9420 11304 14130 18840 28260 56520 185519 371038 556557 742076 927595 1113114 1484152 1669671 1855190 2226228 2782785 3339342 3710380 4452456 5565570 6678684 7420760 8348355 11131140 13357368 16696710 22262280 29126483 33393420 58252966 66786840 87379449 116505932 145632415 174758898 233011864 262138347 291264830 349517796 436897245 524276694 582529660 699035592 873794490 1048553388 1165059320 1310691735 1747588980 2097106776 2621383470 3495177960 5242766940 10485533880