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82153037071 = 7233131630247
BaseRepresentation
bin100110010000010110…
…0111101110100001111
321212001101102200121201
41030200230331310033
52321222134141241
6101423544410331
75635554202420
oct1144054756417
9255041380551
1082153037071
113192827a766
1213b08a769a7
137993202551
143d94aad647
15220c510931
hex1320b3dd0f

82153037071 has 16 divisors (see below), whose sum is σ = 98284391424. Its totient is φ = 67140051264.

The previous prime is 82153037027. The next prime is 82153037093. The reversal of 82153037071 is 17073035128.

It is a cyclic number.

It is not a de Polignac number, because 82153037071 - 27 = 82153036943 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 82153037071.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82153037371) 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 15 ways as a sum of consecutive naturals, for example, 764731 + ... + 865516.

It is an arithmetic number, because the mean of its divisors is an integer number (6142774464).

Almost surely, 282153037071 is an apocalyptic number.

82153037071 is a deficient number, since it is larger than the sum of its proper divisors (16131354353).

82153037071 is a wasteful number, since it uses less digits than its factorization.

82153037071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1630590.

The product of its (nonzero) digits is 35280, while the sum is 37.

The spelling of 82153037071 in words is "eighty-two billion, one hundred fifty-three million, thirty-seven thousand, seventy-one".

Divisors: 1 7 23 161 313 2191 7199 50393 1630247 11411729 37495681 262469767 510267311 3571871177 11736148153 82153037071