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108294907104 = 25323343112481
BaseRepresentation
bin110010011011011100…
…0010010010011100000
3101100112020222021122100
41210312320102103200
53233241444011404
6121425555410400
710552435344066
oct1446670222340
9340466867570
10108294907104
1141a2271962a
1218ba38b3a00
13a29b1894b7
145354974036
152c3c589d39
hex1936e124e0

108294907104 has 72 divisors (see below), whose sum is σ = 308058502752. Its totient is φ = 36087183360.

The previous prime is 108294907043. The next prime is 108294907109. The reversal of 108294907104 is 401709492801.

It is a happy number.

108294907104 is a `hidden beast` number, since 10 + 82 + 9 + 490 + 71 + 0 + 4 = 666.

108294907104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 108294907104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (108294907109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 906544 + ... + 1019024.

It is an arithmetic number, because the mean of its divisors is an integer number (4278590316).

Almost surely, 2108294907104 is an apocalyptic number.

It is an amenable number.

108294907104 is an abundant number, since it is smaller than the sum of its proper divisors (199763595648).

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

108294907104 is a wasteful number, since it uses less digits than its factorization.

108294907104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115840 (or 115829 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 108294907104 in words is "one hundred eight billion, two hundred ninety-four million, nine hundred seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 3343 6686 10029 13372 20058 26744 30087 40116 53488 60174 80232 106976 112481 120348 160464 224962 240696 320928 337443 449924 481392 674886 899848 962784 1012329 1349772 1799696 2024658 2699544 3599392 4049316 5399088 8098632 10798176 16197264 32394528 376023983 752047966 1128071949 1504095932 2256143898 3008191864 3384215847 4512287796 6016383728 6768431694 9024575592 12032767456 13536863388 18049151184 27073726776 36098302368 54147453552 108294907104