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12072671208 = 23321329344021
BaseRepresentation
bin10110011111001011…
…00101011111101000
31011011100212020111200
423033211211133220
5144211100434313
65313543124200
7605113004103
oct131745453750
934140766450
1012072671208
115135787624
12240b143660
1311a522a140
1482753773a
154a9d27b73
hex2cf9657e8

12072671208 has 96 divisors (see below), whose sum is σ = 35332937640. Its totient is φ = 3701905920.

The previous prime is 12072671179. The next prime is 12072671239. The reversal of 12072671208 is 80217627021.

It can be written as a sum of positive squares in 4 ways, for example, as 10592114724 + 1480556484 = 102918^2 + 38478^2 .

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 23 ways as a sum of consecutive naturals, for example, 252238 + ... + 296258.

Almost surely, 212072671208 is an apocalyptic number.

12072671208 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 12072671208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17666468820).

12072671208 is an abundant number, since it is smaller than the sum of its proper divisors (23260266432).

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

12072671208 is a wasteful number, since it uses less digits than its factorization.

12072671208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44339 (or 44332 counting only the distinct ones).

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

The spelling of 12072671208 in words is "twelve billion, seventy-two million, six hundred seventy-one thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 293 312 468 586 879 936 1172 1758 2344 2637 3516 3809 5274 7032 7618 10548 11427 15236 21096 22854 30472 34281 44021 45708 68562 88042 91416 132063 137124 176084 264126 274248 352168 396189 528252 572273 792378 1056504 1144546 1584756 1716819 2289092 3169512 3433638 4578184 5150457 6867276 10300914 12898153 13734552 20601828 25796306 38694459 41203656 51592612 77388918 103185224 116083377 154777836 167675989 232166754 309555672 335351978 464333508 503027967 670703956 928667016 1006055934 1341407912 1509083901 2012111868 3018167802 4024223736 6036335604 12072671208