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10683302880 = 253536776053
BaseRepresentation
bin10011111001100011…
…00100001111100000
31000120112112000110110
421330301210033200
5133334411143010
64524032131320
7525512401425
oct117461441740
930515460413
1010683302880
11459249a638
1220a1996b40
1310134318c3
14734bd1d4c
15427d83120
hex27cc643e0

10683302880 has 96 divisors (see below), whose sum is σ = 33667117344. Its totient is φ = 2847635456.

The previous prime is 10683302857. The next prime is 10683302923. The reversal of 10683302880 is 8820338601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×106833028802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1761934 + ... + 1767986.

It is an arithmetic number, because the mean of its divisors is an integer number (350699139).

Almost surely, 210683302880 is an apocalyptic number.

10683302880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10683302880 is an abundant number, since it is smaller than the sum of its proper divisors (22983814464).

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

10683302880 is a wasteful number, since it uses less digits than its factorization.

10683302880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9748 (or 9740 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The spelling of 10683302880 in words is "ten billion, six hundred eighty-three million, three hundred two thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 3677 6053 7354 11031 12106 14708 18159 18385 22062 24212 29416 30265 36318 36770 44124 48424 55155 58832 60530 72636 73540 88248 90795 96848 110310 117664 121060 145272 147080 176496 181590 193696 220620 242120 290544 294160 352992 363180 441240 484240 581088 588320 726360 882480 968480 1452720 1764960 2905440 22256881 44513762 66770643 89027524 111284405 133541286 178055048 222568810 267082572 333853215 356110096 445137620 534165144 667706430 712220192 890275240 1068330288 1335412860 1780550480 2136660576 2670825720 3561100960 5341651440 10683302880