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91655782036 = 227213199318049
BaseRepresentation
bin101010101011100011…
…1000011111010010100
322202120122112011001221
41111113013003322110
53000202340011121
6110034525300124
76423213202300
oct1252707037224
9282518464057
1091655782036
11359643326a5
121591b404644
138848b89170
144616b92d00
1525b68e8b41
hex15571c3e94

91655782036 has 72 divisors (see below), whose sum is σ = 201049636200. Its totient is φ = 36239228928.

The previous prime is 91655781967. The next prime is 91655782103. The reversal of 91655782036 is 63028755619.

It can be written as a sum of positive squares in 4 ways, for example, as 22903795600 + 68751986436 = 151340^2 + 262206^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 5069140 + ... + 5087188.

Almost surely, 291655782036 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91655782036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100524818100).

91655782036 is an abundant number, since it is smaller than the sum of its proper divisors (109393854164).

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

91655782036 is a wasteful number, since it uses less digits than its factorization.

91655782036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20073 (or 20064 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 52.

The spelling of 91655782036 in words is "ninety-one billion, six hundred fifty-five million, seven hundred eighty-two thousand, thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 1274 1993 2548 3986 7972 13951 18049 25909 27902 36098 51818 55804 72196 97657 103636 126343 181363 195314 234637 252686 362726 390628 469274 505372 725452 884401 938548 1269541 1642459 1768802 2539082 3284918 3537604 5078164 6569836 11497213 22994426 35971657 45988852 71943314 143886628 251801599 467631541 503603198 935263082 1007206396 1762611193 1870526164 3273420787 3525222386 6546841574 7050444772 13093683148 22913945509 45827891018 91655782036