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106556463324 = 223253311179573
BaseRepresentation
bin110001100111101000…
…0101001100011011100
3101012001002210012002200
41203033100221203130
53221211423311244
6120541254451500
710461365664633
oct1431720514334
9335032705080
10106556463324
1141210389033
1218799663b90
13a081c6c83c
14522bb2251a
152b89b40669
hex18cf4298dc

106556463324 has 72 divisors (see below), whose sum is σ = 275317110432. Its totient is φ = 34736407680.

The previous prime is 106556463259. The next prime is 106556463359. The reversal of 106556463324 is 423364655601.

106556463324 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 5 + 6 + 4 + 633 + 2 + 4 = 666.

It is a super-2 number, since 2×1065564633242 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106556463324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 503602 + ... + 683174.

It is an arithmetic number, because the mean of its divisors is an integer number (3823848756).

Almost surely, 2106556463324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106556463324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137658555216).

106556463324 is an abundant number, since it is smaller than the sum of its proper divisors (168760647108).

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

106556463324 is a wasteful number, since it uses less digits than its factorization.

106556463324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179947 (or 179942 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 45.

The spelling of 106556463324 in words is "one hundred six billion, five hundred fifty-six million, four hundred sixty-three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 311 318 477 622 636 933 954 1244 1866 1908 2799 3732 5598 11196 16483 32966 49449 65932 98898 148347 179573 197796 296694 359146 538719 593388 718292 1077438 1616157 2154876 3232314 6464628 9517369 19034738 28552107 38069476 55847203 57104214 85656321 111694406 114208428 167541609 171312642 223388812 335083218 342625284 502624827 670166436 1005249654 2010499308 2959901759 5919803518 8879705277 11839607036 17759410554 26639115831 35518821108 53278231662 106556463324