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91993878369 = 32371279472297
BaseRepresentation
bin101010110101101000…
…0110010111101100001
322210110012201020001100
41111223100302331201
53001400413101434
6110132244025013
76434460031011
oct1255320627541
9283405636040
1091993878369
1136018167458
12159b4692169
1388a0c35173
144649a41c41
1525d6430699
hex156b432f61

91993878369 has 48 divisors (see below), whose sum is σ = 137751164928. Its totient is φ = 59113587456.

The previous prime is 91993878359. The next prime is 91993878401. The reversal of 91993878369 is 96387839919.

It is a happy number.

91993878369 is a `hidden beast` number, since 9 + 199 + 3 + 8 + 78 + 369 = 666.

It is not a de Polignac number, because 91993878369 - 235 = 57634140001 is a prime.

It is a super-2 number, since 2×919938783692 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 91993878297 and 91993878306.

It is not an unprimeable number, because it can be changed into a prime (91993878359) 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 47 ways as a sum of consecutive naturals, for example, 40048429 + ... + 40050725.

It is an arithmetic number, because the mean of its divisors is an integer number (2869815936).

Almost surely, 291993878369 is an apocalyptic number.

It is an amenable number.

91993878369 is a deficient number, since it is larger than the sum of its proper divisors (45757286559).

91993878369 is a wasteful number, since it uses less digits than its factorization.

91993878369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3414 (or 3411 counting only the distinct ones).

The product of its digits is 158723712, while the sum is 72.

The spelling of 91993878369 in words is "ninety-one billion, nine hundred ninety-three million, eight hundred seventy-eight thousand, three hundred sixty-nine".

Divisors: 1 3 9 37 111 127 333 381 947 1143 2297 2841 4699 6891 8523 14097 20673 35039 42291 84989 105117 120269 254967 291719 315351 360807 764901 875157 1082421 2175259 2625471 4449953 6525777 10793603 13349859 19577331 32380809 40049577 80484583 97142427 241453749 276257893 724361247 828773679 2486321037 10221542041 30664626123 91993878369