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13656665412 = 22321337378233
BaseRepresentation
bin11001011100000000…
…00010110101000100
31022020202102111001200
430232000002311010
5210432101243122
610135045422500
7662265512025
oct145600026504
938222374050
1013656665412
115878916945
12279170aa30
13139844a810
14937a62c4c
1554de145ac
hex32e002d44

13656665412 has 72 divisors (see below), whose sum is σ = 37276623384. Its totient is φ = 4190731776.

The previous prime is 13656665387. The next prime is 13656665423. The reversal of 13656665412 is 21456665631.

It can be written as a sum of positive squares in 4 ways, for example, as 196953156 + 13459712256 = 14034^2 + 116016^2 .

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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, 135448 + ... + 213680.

Almost surely, 213656665412 is an apocalyptic number.

13656665412 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 13656665412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18638311692).

13656665412 is an abundant number, since it is smaller than the sum of its proper divisors (23619957972).

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

13656665412 is a wasteful number, since it uses less digits than its factorization.

13656665412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78629 (or 78624 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 13656665412 in words is "thirteen billion, six hundred fifty-six million, six hundred sixty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 373 468 746 1119 1492 2238 3357 4476 4849 6714 9698 13428 14547 19396 29094 43641 58188 78233 87282 156466 174564 234699 312932 469398 704097 938796 1017029 1408194 2034058 2816388 3051087 4068116 6102174 9153261 12204348 18306522 29180909 36613044 58361818 87542727 116723636 175085454 262628181 350170908 379351817 525256362 758703634 1050512724 1138055451 1517407268 2276110902 3414166353 4552221804 6828332706 13656665412