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12117436032 = 273132427371
BaseRepresentation
bin10110100100100000…
…10110011010000000
31011021111002112022010
423102100112122000
5144304030423112
65322222412520
7606165335562
oct132220263200
934244075263
1012117436032
115158a82049
122422131140
1311b15a16c0
1482d46b332
154adc1b63c
hex2d2416680

12117436032 has 64 divisors (see below), whose sum is σ = 34662872160. Its totient is φ = 3728440320.

The previous prime is 12117436021. The next prime is 12117436043. The reversal of 12117436032 is 23063471121.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (12117436021) and next prime (12117436043).

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×121174360322 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1208694 + ... + 1218677.

Almost surely, 212117436032 is an apocalyptic number.

12117436032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12117436032 is an abundant number, since it is smaller than the sum of its proper divisors (22545436128).

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

12117436032 is a wasteful number, since it uses less digits than its factorization.

12117436032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2427401 (or 2427389 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 30.

The spelling of 12117436032 in words is "twelve billion, one hundred seventeen million, four hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1664 2496 4992 2427371 4854742 7282113 9709484 14564226 19418968 29128452 31555823 38837936 58256904 63111646 77675872 94667469 116513808 126223292 155351744 189334938 233027616 252446584 310703488 378669876 466055232 504893168 757339752 932110464 1009786336 1514679504 2019572672 3029359008 4039145344 6058718016 12117436032