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12408182680 = 235310204567
BaseRepresentation
bin10111000111001010…
…11101011110011000
31012000202011222201111
423203211131132120
5200402443321210
65411130230104
7616325545465
oct134345353630
935022158644
1012408182680
115298106333
1224a3585334
1312298ac73a
14859d1266c
154c94ed88a
hex2e395d798

12408182680 has 16 divisors (see below), whose sum is σ = 27918411120. Its totient is φ = 4963273056.

The previous prime is 12408182653. The next prime is 12408182681. The reversal of 12408182680 is 8628180421.

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 310204567 = 12408182680 / (1 + 2 + 4 + 0 + 8 + 1 + 8 + 2 + 6 + 8 + 0).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12408182681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 155102244 + ... + 155102323.

It is an arithmetic number, because the mean of its divisors is an integer number (1744900695).

Almost surely, 212408182680 is an apocalyptic number.

12408182680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12408182680 is an abundant number, since it is smaller than the sum of its proper divisors (15510228440).

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

12408182680 is a wasteful number, since it uses less digits than its factorization.

12408182680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310204578 (or 310204574 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 40.

The spelling of 12408182680 in words is "twelve billion, four hundred eight million, one hundred eighty-two thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 20 40 310204567 620409134 1240818268 1551022835 2481636536 3102045670 6204091340 12408182680