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106731312608 = 25311031044583
BaseRepresentation
bin110001101100110101…
…1101001010111100000
3101012111021210110020002
41203121223221113200
53222041204000413
6121010502235132
710465621121414
oct1433153512740
9335437713202
10106731312608
11412a0052978
1218828125aa8
13a0ac25c15b
145247038d44
152b9a17c958
hex18d9ae95e0

106731312608 has 48 divisors (see below), whose sum is σ = 219011659776. Its totient is φ = 51142734720.

The previous prime is 106731312587. The next prime is 106731312613. The reversal of 106731312608 is 806213137601.

It is a super-2 number, since 2×1067313126082 (a number of 23 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 420116 + ... + 624467.

It is an arithmetic number, because the mean of its divisors is an integer number (4562742912).

Almost surely, 2106731312608 is an apocalyptic number.

It is an amenable number.

106731312608 is an abundant number, since it is smaller than the sum of its proper divisors (112280347168).

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

106731312608 is a wasteful number, since it uses less digits than its factorization.

106731312608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044727 (or 1044719 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 106731312608 in words is "one hundred six billion, seven hundred thirty-one million, three hundred twelve thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 32 62 103 124 206 248 412 496 824 992 1648 3193 3296 6386 12772 25544 51088 102176 1044583 2089166 4178332 8356664 16713328 32382073 33426656 64764146 107592049 129528292 215184098 259056584 430368196 518113168 860736392 1036226336 1721472784 3335353519 3442945568 6670707038 13341414076 26682828152 53365656304 106731312608