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11895206401 = 132343925193
BaseRepresentation
bin10110001010000001…
…00111001000000001
31010200222221002120001
423011000213020001
5143330133101101
65244203320001
7600526405021
oct130500471001
933628832501
1011895206401
1150545966a1
12237b820001
131177533190
1480bb3da81
15499470901
hex2c5027201

11895206401 has 16 divisors (see below), whose sum is σ = 13678068096. Its totient is φ = 10258528896.

The previous prime is 11895206339. The next prime is 11895206417. The reversal of 11895206401 is 10460259811.

It is a cyclic number.

It is not a de Polignac number, because 11895206401 - 213 = 11895198209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11895206431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 449740 + ... + 475453.

It is an arithmetic number, because the mean of its divisors is an integer number (854879256).

Almost surely, 211895206401 is an apocalyptic number.

It is an amenable number.

11895206401 is a deficient number, since it is larger than the sum of its proper divisors (1782861695).

11895206401 is a wasteful number, since it uses less digits than its factorization.

11895206401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 925272.

The product of its (nonzero) digits is 17280, while the sum is 37.

The spelling of 11895206401 in words is "eleven billion, eight hundred ninety-five million, two hundred six thousand, four hundred one".

Divisors: 1 13 23 43 299 559 989 12857 925193 12027509 21279439 39783299 276632707 517182887 915015877 11895206401