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12202593816 = 2337591231093
BaseRepresentation
bin10110101110101010…
…01100111000011000
31011111102022222211010
423113111030320120
5144442331000231
65334503533520
7611251223160
oct132725147030
934442288733
1012202593816
1151a2056386
12244675a2a0
1311c611961a
1483a8b75a0
154b643d546
hex2d754ce18

12202593816 has 64 divisors (see below), whose sum is σ = 35455507200. Its totient is φ = 3427360128.

The previous prime is 12202593803. The next prime is 12202593817. The reversal of 12202593816 is 61839520221.

12202593816 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12202593817) 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, 605635 + ... + 625458.

It is an arithmetic number, because the mean of its divisors is an integer number (553992300).

Almost surely, 212202593816 is an apocalyptic number.

It is an amenable number.

12202593816 is an abundant number, since it is smaller than the sum of its proper divisors (23252913384).

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

12202593816 is a wasteful number, since it uses less digits than its factorization.

12202593816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1231168 (or 1231164 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 39.

The spelling of 12202593816 in words is "twelve billion, two hundred two million, five hundred ninety-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 118 168 177 236 354 413 472 708 826 1239 1416 1652 2478 3304 4956 9912 1231093 2462186 3693279 4924372 7386558 8617651 9848744 14773116 17235302 25852953 29546232 34470604 51705906 68941208 72634487 103411812 145268974 206823624 217903461 290537948 435806922 508441409 581075896 871613844 1016882818 1525324227 1743227688 2033765636 3050648454 4067531272 6101296908 12202593816