Search a number
-
+
12806555895 = 335717975709
BaseRepresentation
bin10111110110101010…
…01000100011110111
31020001111210110001000
423323111020203313
5202211434242040
65514440534343
7632233633440
oct137325104367
936044713030
1012806555895
115481a6aaa1
122594a813b3
1312912a1733
14896bb22c7
154ee490130
hex2fb5488f7

12806555895 has 64 divisors (see below), whose sum is σ = 26165376000. Its totient is φ = 5821642368.

The previous prime is 12806555887. The next prime is 12806555897. The reversal of 12806555895 is 59855560821.

12806555895 is a `hidden beast` number, since 1 + 2 + 8 + 0 + 6 + 55 + 589 + 5 = 666.

It is not a de Polignac number, because 12806555895 - 23 = 12806555887 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12806555897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131301 + ... + 207009.

It is an arithmetic number, because the mean of its divisors is an integer number (408834000).

Almost surely, 212806555895 is an apocalyptic number.

12806555895 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

12806555895 is an abundant number, since it is smaller than the sum of its proper divisors (13358820105).

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

12806555895 is a wasteful number, since it uses less digits than its factorization.

12806555895 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75909 (or 75903 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 54.

The spelling of 12806555895 in words is "twelve billion, eight hundred six million, five hundred fifty-five thousand, eight hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 179 189 315 537 895 945 1253 1611 2685 3759 4833 6265 8055 11277 18795 24165 33831 56385 75709 169155 227127 378545 529963 681381 1135635 1589889 2044143 2649815 3406905 4769667 7949445 10220715 13551911 14309001 23848335 40655733 67759555 71545005 94863377 121967199 203278665 284590131 365901597 474316885 609835995 853770393 1422950655 1829507985 2561311179 4268851965 12806555895