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12345164496 = 2432753231079
BaseRepresentation
bin10110111111101010…
…00100001011010000
31011212100121100000200
423133311010023100
5200240330230441
65400555415200
7614632111140
oct133765041320
934770540020
1012345164496
115265583895
122486454500
131219816a82
148517ca920
154c3c017b6
hex2dfd442d0

12345164496 has 120 divisors (see below), whose sum is σ = 40230103680. Its totient is φ = 3460624128.

The previous prime is 12345164471. The next prime is 12345164501. The reversal of 12345164496 is 69446154321.

12345164496 is a `hidden beast` number, since 1 + 2 + 3 + 4 + 516 + 44 + 96 = 666.

12345164496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62116 + ... + 168963.

It is an arithmetic number, because the mean of its divisors is an integer number (335250864).

Almost surely, 212345164496 is an apocalyptic number.

12345164496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

12345164496 is an abundant number, since it is smaller than the sum of its proper divisors (27884939184).

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

12345164496 is a wasteful number, since it uses less digits than its factorization.

12345164496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 231153 (or 231144 counting only the distinct ones).

The product of its digits is 622080, while the sum is 45.

The spelling of 12345164496 in words is "twelve billion, three hundred forty-five million, one hundred sixty-four thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 53 56 63 72 84 106 112 126 144 159 168 212 252 318 336 371 424 477 504 636 742 848 954 1008 1113 1272 1484 1908 2226 2544 2968 3339 3816 4452 5936 6678 7632 8904 13356 17808 26712 53424 231079 462158 693237 924316 1386474 1617553 1848632 2079711 2772948 3235106 3697264 4159422 4852659 5545896 6470212 8318844 9705318 11091792 12247187 12940424 14557977 16637688 19410636 24494374 25880848 29115954 33275376 36741561 38821272 48988748 58231908 73483122 77642544 85730309 97977496 110224683 116463816 146966244 171460618 195954992 220449366 232927632 257190927 293932488 342921236 440898732 514381854 587864976 685842472 771572781 881797464 1028763708 1371684944 1543145562 1763594928 2057527416 3086291124 4115054832 6172582248 12345164496