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13061226456 = 233371851671
BaseRepresentation
bin11000010101000001…
…00111111111011000
31020201021000001101000
430022200213333120
5203222133221311
610000015225000
7641445410265
oct141240477730
936637001330
1013061226456
1155a27a3833
122646218160
131301c8ac85
148bc94626c
155169e8056
hex30a827fd8

13061226456 has 64 divisors (see below), whose sum is σ = 36792230400. Its totient is φ = 4292416800.

The previous prime is 13061226439. The next prime is 13061226467. The reversal of 13061226456 is 65462216031.

13061226456 is a `hidden beast` number, since 1 + 3 + 0 + 6 + 1 + 2 + 2 + 645 + 6 = 666.

13061226456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13061226456.

It is a congruent number.

It is an unprimeable number.

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, 410500 + ... + 441171.

It is an arithmetic number, because the mean of its divisors is an integer number (574878600).

Almost surely, 213061226456 is an apocalyptic number.

It is an amenable number.

13061226456 is an abundant number, since it is smaller than the sum of its proper divisors (23731003944).

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

13061226456 is a wasteful number, since it uses less digits than its factorization.

13061226456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851757 (or 851747 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13061226456 in words is "thirteen billion, sixty-one million, two hundred twenty-six thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 71 72 108 142 213 216 284 426 568 639 852 1278 1704 1917 2556 3834 5112 7668 15336 851671 1703342 2555013 3406684 5110026 6813368 7665039 10220052 15330078 20440104 22995117 30660156 45990234 60468641 61320312 91980468 120937282 181405923 183960936 241874564 362811846 483749128 544217769 725623692 1088435538 1451247384 1632653307 2176871076 3265306614 4353742152 6530613228 13061226456