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12606054040332 = 2232617972664073
BaseRepresentation
bin1011011101110001001101…
…0111111000001100001100
31122122010102120200021100200
42313130103113320030030
53123014144313242312
642451050303253500
72440520525241624
oct267342327701414
948563376607320
1012606054040332
114020219959515
1214b7179baa290
1370599068727c
143181c9cdb884
1516cda44ed0dc
hexb77135f830c

12606054040332 has 72 divisors (see below), whose sum is σ = 32797656440640. Its totient is φ = 4080814283520.

The previous prime is 12606054040273. The next prime is 12606054040427. The reversal of 12606054040332 is 23304045060621.

12606054040332 is a `hidden beast` number, since 1 + 2 + 6 + 0 + 605 + 4 + 0 + 40 + 3 + 3 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36158553 + ... + 36505520.

It is an arithmetic number, because the mean of its divisors is an integer number (455523006120).

Almost surely, 212606054040332 is an apocalyptic number.

12606054040332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12606054040332 is an abundant number, since it is smaller than the sum of its proper divisors (20191602400308).

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

12606054040332 is a wasteful number, since it uses less digits than its factorization.

12606054040332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72664223 (or 72664218 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 12606054040332 in words is "twelve trillion, six hundred six billion, fifty-four million, forty thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 61 79 122 158 183 237 244 316 366 474 549 711 732 948 1098 1422 2196 2844 4819 9638 14457 19276 28914 43371 57828 86742 173484 72664073 145328146 217992219 290656292 435984438 653976657 871968876 1307953314 2615906628 4432508453 5740461767 8865016906 11480923534 13297525359 17221385301 17730033812 22961847068 26595050718 34442770602 39892576077 51664155903 53190101436 68885541204 79785152154 103328311806 159570304308 206656623612 350168167787 700336335574 1050504503361 1400672671148 2101009006722 3151513510083 4202018013444 6303027020166 12606054040332