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12460466064 = 2431727755127
BaseRepresentation
bin10111001101011001…
…11001111110010000
31012011101120021001010
423212230321332100
5201004334403224
65420235010520
7620532133254
oct134654717620
935141507033
1012460466064
115314676642
1224b8b99a40
131237687257
14862c42264
154cddc9e29
hex2e6b39f90

12460466064 has 80 divisors (see below), whose sum is σ = 34206703488. Its totient is φ = 3894982656.

The previous prime is 12460466003. The next prime is 12460466071. The reversal of 12460466064 is 46066406421.

It is an unprimeable number.

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, 198469 + ... + 253595.

Almost surely, 212460466064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12460466064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17103351744).

12460466064 is an abundant number, since it is smaller than the sum of its proper divisors (21746237424).

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

12460466064 is a wasteful number, since it uses less digits than its factorization.

12460466064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55432 (or 55426 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 12460466064 in words is "twelve billion, four hundred sixty million, four hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 277 408 554 816 831 1108 1662 2216 3324 4432 4709 6648 9418 13296 14127 18836 28254 37672 55127 56508 75344 110254 113016 165381 220508 226032 330762 441016 661524 882032 937159 1323048 1874318 2646096 2811477 3748636 5622954 7497272 11245908 14994544 15270179 22491816 30540358 44983632 45810537 61080716 91621074 122161432 183242148 244322864 259593043 366484296 519186086 732968592 778779129 1038372172 1557558258 2076744344 3115116516 4153488688 6230233032 12460466064