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106623353592 = 23337217592589
BaseRepresentation
bin110001101001100111…
…1110100001011111000
3101012012202122120022000
41203103033310023320
53221331034303332
6120552044301000
710463140360200
oct1432317641370
9335182576260
10106623353592
1141245115748
12187b7b41760
13a092a8ca92
145236975400
152b90954b7c
hex18d33f42f8

106623353592 has 192 divisors, whose sum is σ = 364798404000. Its totient is φ = 28671777792.

The previous prime is 106623353587. The next prime is 106623353593. The reversal of 106623353592 is 295353326601.

It is a happy number.

106623353592 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 2 + 3 + 3 + 53 + 592 = 666.

It is a super-2 number, since 2×1066233535922 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106623353593) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 116367 + ... + 476222.

Almost surely, 2106623353592 is an apocalyptic number.

106623353592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106623353592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182399202000).

106623353592 is an abundant number, since it is smaller than the sum of its proper divisors (258175050408).

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

106623353592 is a wasteful number, since it uses less digits than its factorization.

106623353592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 592635 (or 592618 counting only the distinct ones).

The product of its (nonzero) digits is 874800, while the sum is 45.

The spelling of 106623353592 in words is "one hundred six billion, six hundred twenty-three million, three hundred fifty-three thousand, five hundred ninety-two".