Search a number
-
+
12670820712 = 23331131172027
BaseRepresentation
bin10111100110011110…
…10110000101101000
31012201001101101101000
423303033112011220
5201422212230322
65453151355000
7625665125154
oct136317260550
935631341330
1012670820712
115412391160
122557522a60
13126c128664
14882b5c064
154e25cc3ac
hex2f33d6168

12670820712 has 128 divisors (see below), whose sum is σ = 39635251200. Its totient is φ = 3715761600.

The previous prime is 12670820693. The next prime is 12670820759. The reversal of 12670820712 is 21702807621.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12358 + ... + 159669.

It is an arithmetic number, because the mean of its divisors is an integer number (309650400).

Almost surely, 212670820712 is an apocalyptic number.

12670820712 is a gapful number since it is divisible by the number (12) 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 12670820712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19817625600).

12670820712 is an abundant number, since it is smaller than the sum of its proper divisors (26964430488).

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

12670820712 is a wasteful number, since it uses less digits than its factorization.

12670820712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172084 (or 172074 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The spelling of 12670820712 in words is "twelve billion, six hundred seventy million, eight hundred twenty thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 172027 344054 516081 688108 1032162 1376216 1548243 1892297 2064324 3096486 3784594 4128648 4644729 5332837 5676891 6192972 7569188 9289458 10665674 11353782 12385944 15138376 15998511 17030673 18578916 21331348 22707564 31997022 34061346 37157832 42662696 45415128 47995533 51092019 58661207 63994044 68122692 95991066 102184038 117322414 127988088 136245384 143986599 175983621 191982132 204368076 234644828 287973198 351967242 383964264 408736152 469289656 527950863 575946396 703934484 1055901726 1151892792 1407868968 1583852589 2111803452 3167705178 4223606904 6335410356 12670820712