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8010000012 = 22372192932447
BaseRepresentation
bin1110111010110111…
…01110011010001100
3202200020020011100010
413131123232122030
5112401030000022
63402454033220
7402331606500
oct73533563214
922606204303
108010000012
113440488623
121676648810
139a86349a1
1455db4c300
1531d32350c
hex1dd6ee68c

8010000012 has 144 divisors (see below), whose sum is σ = 22973207040. Its totient is φ = 2159837568.

The previous prime is 8009999999. The next prime is 8010000017. The reversal of 8010000012 is 2100000108.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (8010000017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3272173 + ... + 3274619.

It is an arithmetic number, because the mean of its divisors is an integer number (159536160).

Almost surely, 28010000012 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 8010000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11486603520).

8010000012 is an abundant number, since it is smaller than the sum of its proper divisors (14963207028).

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

8010000012 is a wasteful number, since it uses less digits than its factorization.

8010000012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2780 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 8010000012 is about 89498.6034080979. The cubic root of 8010000012 is about 2000.8329873512.

The spelling of 8010000012 in words is "eight billion, ten million, twelve", and thus it is an aban number and an uban number.

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 293 294 399 532 586 588 798 879 931 1172 1596 1758 1862 2051 2447 2793 3516 3724 4102 4894 5567 5586 6153 7341 8204 9788 11134 11172 12306 14357 14682 16701 17129 22268 24612 28714 29364 33402 34258 38969 43071 46493 51387 57428 66804 68516 77938 86142 92986 102774 116907 119903 139479 155876 172284 185972 205548 233814 239806 272783 278958 325451 359709 467628 479612 545566 557916 650902 716971 719418 818349 976353 1091132 1301804 1433942 1438836 1636698 1952706 2150913 2278157 2867884 3273396 3905412 4301826 4556314 5018797 6834471 8603652 9112628 10037594 13622449 13668942 15056391 20075188 27244898 27337884 30112782 35131579 40867347 54489796 60225564 70263158 81734694 95357143 105394737 140526316 163469388 190714286 210789474 286071429 381428572 421578948 572142858 667500001 1144285716 1335000002 2002500003 2670000004 4005000006 8010000012