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13856351201 = 71131471131093
BaseRepresentation
bin11001110011110011…
…10010001111100001
31022202200011120110122
430321321302033201
5211334211214301
610210541410025
71000242020240
oct147171621741
938680146418
1013856351201
115970604820
122828569915
1313ca924aa4
149563a2957
1556170a81b
hex339e723e1

13856351201 has 64 divisors (see below), whose sum is σ = 18390122496. Its totient is φ = 10126771200.

The previous prime is 13856351191. The next prime is 13856351207. The reversal of 13856351201 is 10215365831.

It is not a de Polignac number, because 13856351201 - 210 = 13856350177 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (13856351207) 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 63 ways as a sum of consecutive naturals, for example, 12676811 + ... + 12677903.

It is an arithmetic number, because the mean of its divisors is an integer number (287345664).

Almost surely, 213856351201 is an apocalyptic number.

13856351201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

13856351201 is a deficient number, since it is larger than the sum of its proper divisors (4533771295).

13856351201 is a wasteful number, since it uses less digits than its factorization.

13856351201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1302.

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 13856351201 in words is "thirteen billion, eight hundred fifty-six million, three hundred fifty-one thousand, two hundred one".

Divisors: 1 7 11 31 47 77 113 217 329 341 517 791 1093 1243 1457 2387 3503 3619 5311 7651 8701 10199 12023 16027 24521 33883 37177 38533 51371 58421 84161 112189 123509 164641 237181 269731 359597 372713 408947 565081 864563 1152487 1358599 1592501 1811051 2608991 3828779 3955567 5804923 9510193 11147507 12677357 17517511 26801453 40634461 42116569 63854153 122622577 179952613 294815983 446979071 1259668291 1979478743 13856351201