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12739143840 = 253533717873
BaseRepresentation
bin10111101110100111…
…11110100010100000
31012212210221120002020
423313103332202200
5202042210100330
65504032021440
7630454636023
oct136723764240
935783846066
1012739143840
115447a07355
122576391880
13128032ab47
1488bc651ba
154e85c6210
hex2f74fe8a0

12739143840 has 96 divisors (see below), whose sum is σ = 40145305536. Its totient is φ = 3395665920.

The previous prime is 12739143839. The next prime is 12739143847. The reversal of 12739143840 is 4834193721.

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

It is a junction number, because it is equal to n+sod(n) for n = 12739143792 and 12739143801.

It is not an unprimeable number, because it can be changed into a prime (12739143847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614144 + ... + 1622016.

It is an arithmetic number, because the mean of its divisors is an integer number (418180266).

Almost surely, 212739143840 is an apocalyptic number.

12739143840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12739143840 is an abundant number, since it is smaller than the sum of its proper divisors (27406161696).

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

12739143840 is a wasteful number, since it uses less digits than its factorization.

12739143840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11262 (or 11254 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 12739143840 in words is "twelve billion, seven hundred thirty-nine million, one hundred forty-three thousand, eight hundred forty".

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 3371 6742 7873 10113 13484 15746 16855 20226 23619 26968 31492 33710 39365 40452 47238 50565 53936 62984 67420 78730 80904 94476 101130 107872 118095 125968 134840 157460 161808 188952 202260 236190 251936 269680 314920 323616 377904 404520 472380 539360 629840 755808 809040 944760 1259680 1618080 1889520 3779040 26539883 53079766 79619649 106159532 132699415 159239298 212319064 265398830 318478596 398098245 424638128 530797660 636957192 796196490 849276256 1061595320 1273914384 1592392980 2123190640 2547828768 3184785960 4246381280 6369571920 12739143840