Search a number
-
+
102191757416 = 23717293701527
BaseRepresentation
bin101111100101100011…
…0100111100001101000
3100202202220211011012022
41133023012213201220
53133242042214131
6114540220004012
710245256414550
oct1371306474150
9322686734168
10102191757416
113a380645971
121797b990608
139837916418
144d36194160
1529d187937b
hex17cb1a7868

102191757416 has 64 divisors (see below), whose sum is σ = 239859014400. Its totient is φ = 39798807552.

The previous prime is 102191757413. The next prime is 102191757427. The reversal of 102191757416 is 614757191201.

It is not an unprimeable number, because it can be changed into a prime (102191757413) 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, 1823156 + ... + 1878371.

It is an arithmetic number, because the mean of its divisors is an integer number (3747797100).

Almost surely, 2102191757416 is an apocalyptic number.

It is an amenable number.

102191757416 is an abundant number, since it is smaller than the sum of its proper divisors (137667256984).

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

102191757416 is a wasteful number, since it uses less digits than its factorization.

102191757416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3701586 (or 3701582 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 44.

The spelling of 102191757416 in words is "one hundred two billion, one hundred ninety-one million, seven hundred fifty-seven thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 17 28 29 34 56 58 68 116 119 136 203 232 238 406 476 493 812 952 986 1624 1972 3451 3944 6902 13804 27608 3701527 7403054 14806108 25910689 29612216 51821378 62925959 103642756 107344283 125851918 207285512 214688566 251703836 429377132 440481713 503407672 751409981 858754264 880963426 1502819962 1761926852 1824852811 3005639924 3523853704 3649705622 6011279848 7299411244 12773969677 14598822488 25547939354 51095878708 102191757416