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12084261672 = 2337233308713
BaseRepresentation
bin10110100000100011…
…10011001100101000
31011012011200002122010
423100101303030220
5144222032333142
65315035355520
7605313346410
oct132021631450
934164602563
1012084261672
11514128371a
122412bb2ba0
1311a77578c2
14828cb3640
154aad66e9c
hex2d0473328

12084261672 has 64 divisors (see below), whose sum is σ = 34674756480. Its totient is φ = 3437816832.

The previous prime is 12084261671. The next prime is 12084261677. The reversal of 12084261672 is 27616248021.

It is a self number, because there is not a number n which added to its sum of digits gives 12084261672.

It is not an unprimeable number, because it can be changed into a prime (12084261671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115213 + ... + 193500.

It is an arithmetic number, because the mean of its divisors is an integer number (541793070).

Almost surely, 212084261672 is an apocalyptic number.

12084261672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12084261672 is an abundant number, since it is smaller than the sum of its proper divisors (22590494808).

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

12084261672 is a wasteful number, since it uses less digits than its factorization.

12084261672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308962 (or 308958 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 12084261672 in words is "twelve billion, eighty-four million, two hundred sixty-one thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 233 466 699 932 1398 1631 1864 2796 3262 4893 5592 6524 9786 13048 19572 39144 308713 617426 926139 1234852 1852278 2160991 2469704 3704556 4321982 6482973 7409112 8643964 12965946 17287928 25931892 51863784 71930129 143860258 215790387 287720516 431580774 503510903 575441032 863161548 1007021806 1510532709 1726323096 2014043612 3021065418 4028087224 6042130836 12084261672