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12868334388 = 223271337310531
BaseRepresentation
bin10111111110000001…
…10011001100110100
31020012211001010012100
423333000303030310
5202323243200023
65524525022100
7633614015610
oct137700631464
936184033170
1012868334388
1155039260a8
1225b16b4930
1312a1022060
148a1094340
15504ae4c43
hex2ff033334

12868334388 has 144 divisors (see below), whose sum is σ = 40145961856. Its totient is φ = 3384426240.

The previous prime is 12868334387. The next prime is 12868334389. The reversal of 12868334388 is 88343386821.

12868334388 is a `hidden beast` number, since 128 + 6 + 83 + 3 + 438 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (12868334387) and next prime (12868334389).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12868334387) 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, 1216683 + ... + 1227213.

Almost surely, 212868334388 is an apocalyptic number.

12868334388 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12868334388, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20072980928).

12868334388 is an abundant number, since it is smaller than the sum of its proper divisors (27277627468).

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

12868334388 is a wasteful number, since it uses less digits than its factorization.

12868334388 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10934 (or 10929 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 54.

The spelling of 12868334388 in words is "twelve billion, eight hundred sixty-eight million, three hundred thirty-four thousand, three hundred eighty-eight".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 373 468 546 746 819 1092 1119 1492 1638 2238 2611 3276 3357 4476 4849 5222 6714 7833 9698 10444 10531 13428 14547 15666 19396 21062 23499 29094 31332 31593 33943 42124 43641 46998 58188 63186 67886 73717 87282 93996 94779 101829 126372 135772 136903 147434 174564 189558 203658 221151 273806 294868 305487 379116 407316 410709 442302 547612 610974 663453 821418 884604 958321 1221948 1232127 1326906 1642836 1916642 2464254 2653812 2874963 3833284 3928063 4928508 5749926 7856126 8624889 11499852 11784189 15712252 17249778 23568378 27496441 34499556 35352567 47136756 51064819 54992882 70705134 82489323 102129638 109985764 141410268 153194457 164978646 204259276 247467969 306388914 329957292 357453733 459583371 494935938 612777828 714907466 919166742 989871876 1072361199 1429814932 1838333484 2144722398 3217083597 4289444796 6434167194 12868334388