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12833071440 = 243577638733
BaseRepresentation
bin10111111001110100…
…10010000101010000
31020010100200120112020
423330322102011100
5202240231241230
65521225131440
7633005210310
oct137472220520
936110616466
1012833071440
115495a30572
1225a1929b80
1312969266c7
1489a515440
1550197b810
hex2fce92150

12833071440 has 80 divisors (see below), whose sum is σ = 45465744768. Its totient is φ = 2933273088.

The previous prime is 12833071423. The next prime is 12833071487. The reversal of 12833071440 is 4417033821.

It is a tau number, because it is divible by the number of its divisors (80).

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, 3817687 + ... + 3821046.

Almost surely, 212833071440 is an apocalyptic number.

12833071440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12833071440 is an abundant number, since it is smaller than the sum of its proper divisors (32632673328).

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

12833071440 is a wasteful number, since it uses less digits than its factorization.

12833071440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7638756 (or 7638750 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 33.

The spelling of 12833071440 in words is "twelve billion, eight hundred thirty-three million, seventy-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 7638733 15277466 22916199 30554932 38193665 45832398 53471131 61109864 76387330 91664796 106942262 114580995 122219728 152774660 160413393 183329592 213884524 229161990 267355655 305549320 320826786 366659184 427769048 458323980 534711310 611098640 641653572 802066965 855538096 916647960 1069422620 1283307144 1604133930 1833295920 2138845240 2566614288 3208267860 4277690480 6416535720 12833071440