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12872740032 = 2632208310729
BaseRepresentation
bin10111111110100011…
…00110110011000000
31020020010022221121100
423333101212303000
5202330410140112
65525203254400
7633666325215
oct137721466300
936203287540
1012872740032
115506365129
1225b307a400
1312a1c05449
148a18bdb0c
155051b52dc
hex2ff466cc0

12872740032 has 84 divisors (see below), whose sum is σ = 36918539320. Its totient is φ = 4288453632.

The previous prime is 12872740031. The next prime is 12872740033. The reversal of 12872740032 is 23004727821.

It is an interprime number because it is at equal distance from previous prime (12872740031) and next prime (12872740033).

It is a super-2 number, since 2×128727400322 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12872740031) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1194444 + ... + 1205172.

Almost surely, 212872740032 is an apocalyptic number.

12872740032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12872740032 is an abundant number, since it is smaller than the sum of its proper divisors (24045799288).

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

12872740032 is a wasteful number, since it uses less digits than its factorization.

12872740032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12830 (or 12817 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The spelling of 12872740032 in words is "twelve billion, eight hundred seventy-two million, seven hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2083 4166 6249 8332 10729 12498 16664 18747 21458 24996 32187 33328 37494 42916 49992 64374 66656 74988 85832 96561 99984 128748 133312 149976 171664 193122 199968 257496 299952 343328 386244 399936 514992 599904 686656 772488 1029984 1199808 1544976 2059968 3089952 6179904 22348507 44697014 67045521 89394028 134091042 178788056 201136563 268182084 357576112 402273126 536364168 715152224 804546252 1072728336 1430304448 1609092504 2145456672 3218185008 4290913344 6436370016 12872740032