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12420828864 = 2632171268467
BaseRepresentation
bin10111001000101011…
…01100111011000000
31012001121222111000200
423210111230323000
5200414213010424
65412301245200
7616541206023
oct134425547300
935047874020
1012420828864
1152a4263624
1224a7863800
13122c3b98a2
1485b8851ba
154ca69a8c9
hex2e456cec0

12420828864 has 84 divisors (see below), whose sum is σ = 37696332024. Its totient is φ = 3896727552.

The previous prime is 12420828853. The next prime is 12420828899. The reversal of 12420828864 is 46882802421.

12420828864 is a `hidden beast` number, since 12 + 420 + 82 + 88 + 64 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 624442 + ... + 644025.

Almost surely, 212420828864 is an apocalyptic number.

It is an amenable number.

12420828864 is an abundant number, since it is smaller than the sum of its proper divisors (25275503160).

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

12420828864 is a wasteful number, since it uses less digits than its factorization.

12420828864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268502 (or 1268489 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 12420828864 in words is "twelve billion, four hundred twenty million, eight hundred twenty-eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 136 144 153 192 204 272 288 306 408 544 576 612 816 1088 1224 1632 2448 3264 4896 9792 1268467 2536934 3805401 5073868 7610802 10147736 11416203 15221604 20295472 21563939 22832406 30443208 40590944 43127878 45664812 60886416 64691817 81181888 86255756 91329624 121772832 129383634 172511512 182659248 194075451 243545664 258767268 345023024 365318496 388150902 517534536 690046048 730636992 776301804 1035069072 1380092096 1552603608 2070138144 3105207216 4140276288 6210414432 12420828864