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12401264827 = 79764128493
BaseRepresentation
bin10111000110010110…
…00100100010111011
31012000021011112012201
423203023010202323
5200344210433302
65410322051031
7616213004020
oct134313044273
935007145181
1012401264827
1152942108a6
1224a11a9a77
131228329a33
14859031547
154c8ad3c87
hex2e32c48bb

12401264827 has 16 divisors (see below), whose sum is σ = 14341828032. Its totient is φ = 10503290880.

The previous prime is 12401264791. The next prime is 12401264833. The reversal of 12401264827 is 72846210421.

12401264827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12401264827 - 227 = 12267047099 is a prime.

It is not an unprimeable number, because it can be changed into a prime (12401264627) 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, 420993 + ... + 449485.

It is an arithmetic number, because the mean of its divisors is an integer number (896364252).

Almost surely, 212401264827 is an apocalyptic number.

12401264827 is a deficient number, since it is larger than the sum of its proper divisors (1940563205).

12401264827 is an equidigital number, since it uses as much as digits as its factorization.

12401264827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29238.

The product of its (nonzero) digits is 43008, while the sum is 37.

The spelling of 12401264827 in words is "twelve billion, four hundred one million, two hundred sixty-four thousand, eight hundred twenty-seven".

Divisors: 1 7 97 641 679 4487 28493 62177 199451 435239 2763821 18264013 19346747 127848091 1771609261 12401264827