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12806283060 = 223457905113
BaseRepresentation
bin10111110110101000…
…00101111100110100
31020001111021120210000
423323110011330310
5202211402024220
65514431031300
7632231416134
oct137324057464
936044246700
1012806283060
1154818a400a
12259496b530
1312912074ac
14896b40ac4
154ee439390
hex2fb505f34

12806283060 has 60 divisors (see below), whose sum is σ = 40173789348. Its totient is φ = 3415008384.

The previous prime is 12806283059. The next prime is 12806283163. The reversal of 12806283060 is 6038260821.

12806283060 is a `hidden beast` number, since 1 + 28 + 0 + 628 + 3 + 0 + 6 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 6790419216 + 6015863844 = 82404^2 + 77562^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 3950937 + ... + 3954176.

Almost surely, 212806283060 is an apocalyptic number.

12806283060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12806283060 is an abundant number, since it is smaller than the sum of its proper divisors (27367506288).

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

12806283060 is a wasteful number, since it uses less digits than its factorization.

12806283060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7905134 (or 7905123 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 12806283060 in words is "twelve billion, eight hundred six million, two hundred eighty-three thousand, sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 1620 7905113 15810226 23715339 31620452 39525565 47430678 71146017 79051130 94861356 118576695 142292034 158102260 213438051 237153390 284584068 355730085 426876102 474306780 640314153 711460170 853752204 1067190255 1280628306 1422920340 2134380510 2561256612 3201570765 4268761020 6403141530 12806283060