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108693396801 = 33113743922531
BaseRepresentation
bin110010100111010100…
…0011001110101000001
3101101120000210122202000
41211032220121311001
53240101002144201
6121533312414213
710565344425453
oct1451650316501
9341500718660
10108693396801
1142107652860
1219095247369
13a3328bc512
1453918642d3
152c62550d86
hex194ea19d41

108693396801 has 64 divisors (see below), whose sum is σ = 180832819200. Its totient is φ = 63945547200.

The previous prime is 108693396709. The next prime is 108693396809.

108693396801 is a `hidden beast` number, since 10 + 86 + 93 + 396 + 80 + 1 = 666.

108693396801 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 108693396801 - 29 = 108693396289 is a prime.

It is not an unprimeable number, because it can be changed into a prime (108693396809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4812906 + ... + 4835436.

It is an arithmetic number, because the mean of its divisors is an integer number (2825512800).

Almost surely, 2108693396801 is an apocalyptic number.

108693396801 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

108693396801 is a deficient number, since it is larger than the sum of its proper divisors (72139422399).

108693396801 is a wasteful number, since it uses less digits than its factorization.

108693396801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23027 (or 23021 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 54.

The spelling of 108693396801 in words is "one hundred eight billion, six hundred ninety-three million, three hundred ninety-six thousand, eight hundred one".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 439 999 1221 1317 3663 3951 4829 10989 11853 14487 16243 22531 43461 48729 67593 130383 146187 178673 202779 247841 438561 536019 608337 743523 833647 1608057 2230569 2500941 4824171 6691707 7502823 9170117 9891109 22508469 27510351 29673327 82531053 89019981 108802199 247593159 267059943 326406597 365971033 979219791 1097913099 2937659373 3293739297 4025681363 9881217891 12077044089 36231132267 108693396801