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81191683813863 = 37101239160166977
BaseRepresentation
bin10010011101011111101001…
…011110001111000111100111
3101122110211221001012002212110
4102131133221132033013213
541120221032024020423
6444402540012252103
723046622420320630
oct2235375136170747
9348424831162773
1081191683813863
1123963221939527
1291335aa771033
13363c45c55c80c
1416099ac82a887
1595beae4be193
hex49d7e978f1e7

81191683813863 has 32 divisors (see below), whose sum is σ = 125468403886080. Its totient is φ = 45743688345600.

The previous prime is 81191683813853. The next prime is 81191683813897. The reversal of 81191683813863 is 36831838619118.

It is a happy number.

It is not a de Polignac number, because 81191683813863 - 213 = 81191683805671 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 81191683813794 and 81191683813803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81191683813853) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79576570 + ... + 80590407.

It is an arithmetic number, because the mean of its divisors is an integer number (3920887621440).

Almost surely, 281191683813863 is an apocalyptic number.

81191683813863 is a deficient number, since it is larger than the sum of its proper divisors (44276720072217).

81191683813863 is a wasteful number, since it uses less digits than its factorization.

81191683813863 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160167327.

The product of its digits is 35831808, while the sum is 66.

The spelling of 81191683813863 in words is "eighty-one trillion, one hundred ninety-one billion, six hundred eighty-three million, eight hundred thirteen thousand, eight hundred sixty-three".

Divisors: 1 3 7 21 101 239 303 707 717 1673 2121 5019 24139 72417 168973 506919 160166977 480500931 1121168839 3363506517 16176864677 38279907503 48530594031 113238052739 114839722509 267959352521 339714158217 803878057563 3866270657803 11598811973409 27063894604621 81191683813863