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12162314660 = 2253794573511
BaseRepresentation
bin10110101001110111…
…00011000110100100
31011101121112121012112
423110323203012210
5144402023032120
65330504340152
7610251653216
oct132473430644
934347477175
1012162314660
115181345021
122435174658
1311ba9859c2
148353d05b6
154b2b33bc5
hex2d4ee31a4

12162314660 has 48 divisors (see below), whose sum is σ = 25671596160. Its totient is φ = 4840093440.

The previous prime is 12162314653. The next prime is 12162314663. The reversal of 12162314660 is 6641326121.

12162314660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (12162314663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3462305 + ... + 3465815.

It is an arithmetic number, because the mean of its divisors is an integer number (534824920).

Almost surely, 212162314660 is an apocalyptic number.

12162314660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12162314660 is an abundant number, since it is smaller than the sum of its proper divisors (13509281500).

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

12162314660 is a wasteful number, since it uses less digits than its factorization.

12162314660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4356 (or 4354 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 12162314660 in words is "twelve billion, one hundred sixty-two million, three hundred fourteen thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 379 457 758 914 1516 1828 1895 2285 3511 3790 4570 7022 7580 9140 14044 17555 35110 70220 173203 346406 692812 866015 1330669 1604527 1732030 2661338 3209054 3464060 5322676 6418108 6653345 8022635 13306690 16045270 26613380 32090540 608115733 1216231466 2432462932 3040578665 6081157330 12162314660