Search a number
-
+
11766872016963 = 3274312011361637
BaseRepresentation
bin1010101100111011000000…
…1110100000100001000011
31112122220100112122111212100
42223032300032200201003
53020242023214020323
641005343144201443
72323062025603410
oct253166016404103
945586315574770
1011766872016963
113827336545728
1213a05b9769283
136747c3c636ab
142c973bc93107
1515613b44c943
hexab3b03a0843

11766872016963 has 48 divisors (see below), whose sum is σ = 19878124121856. Its totient is φ = 6566991520320.

The previous prime is 11766872016953. The next prime is 11766872016971. The reversal of 11766872016963 is 36961027866711.

It is not a de Polignac number, because 11766872016963 - 24 = 11766872016947 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 11766872016963.

It is not an unprimeable number, because it can be changed into a prime (11766872016953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32356981 + ... + 32718617.

It is an arithmetic number, because the mean of its divisors is an integer number (414127585872).

Almost surely, 211766872016963 is an apocalyptic number.

11766872016963 is a deficient number, since it is larger than the sum of its proper divisors (8111252104893).

11766872016963 is a wasteful number, since it uses less digits than its factorization.

11766872016963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373704 (or 373701 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 11766872016963 in words is "eleven trillion, seven hundred sixty-six billion, eight hundred seventy-two million, sixteen thousand, nine hundred sixty-three".

Divisors: 1 3 7 9 21 43 63 129 301 387 903 2709 12011 36033 84077 108099 252231 361637 516473 756693 1084911 1549419 2531459 3254733 3615311 4648257 7594377 10845933 15550391 22783131 32537799 46651173 108852737 139953519 326558211 979674633 4343622007 13030866021 30405354049 39092598063 91216062147 186775746301 273648186441 560327238903 1307430224107 1680981716709 3922290672321 11766872016963