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8828007012 = 223211191916143
BaseRepresentation
bin10000011100011000…
…01011001001100100
3211210020110012222200
420032030023021210
5121034432211022
64015554454500
7431523551526
oct101614131144
924706405880
108828007012
1138201a8370
121864594430
13aa8c50ab6
145da643a16
1536a055bac
hex20e30b264

8828007012 has 144 divisors (see below), whose sum is σ = 25763512320. Its totient is φ = 2520676800.

The previous prime is 8828007007. The next prime is 8828007029. The reversal of 8828007012 is 2107008288.

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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1434013 + ... + 1440155.

It is an arithmetic number, because the mean of its divisors is an integer number (178913280).

Almost surely, 28828007012 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 8828007012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12881756160).

8828007012 is an abundant number, since it is smaller than the sum of its proper divisors (16935505308).

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

8828007012 is a wasteful number, since it uses less digits than its factorization.

8828007012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6374 (or 6369 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 36.

The square root of 8828007012 is about 93957.4744871317. The cubic root of 8828007012 is about 2066.7481449089.

The spelling of 8828007012 in words is "eight billion, eight hundred twenty-eight million, seven thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 38 44 57 66 76 99 114 132 171 191 198 209 228 342 382 396 418 573 627 684 764 836 1146 1254 1719 1881 2101 2292 2508 3438 3629 3762 4202 6143 6303 6876 7258 7524 8404 10887 12286 12606 14516 18429 18909 21774 24572 25212 32661 36858 37818 39919 43548 55287 65322 67573 73716 75636 79838 110574 116717 119757 130644 135146 159676 202719 221148 233434 239514 270292 350151 359271 405438 466868 479028 608157 700302 718542 810876 1050453 1173313 1216314 1283887 1400604 1437084 2100906 2346626 2432628 2567774 3519939 3851661 4201812 4693252 5135548 7039878 7703322 10559817 11554983 12906443 14079756 15406644 21119634 22292947 23109966 25812886 38719329 42239268 44585894 46219932 51625772 66878841 77438658 89171788 116157987 133757682 154877316 200636523 232315974 245222417 267515364 401273046 464631948 490444834 735667251 802546092 980889668 1471334502 2207001753 2942669004 4414003506 8828007012