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107416561134630 = 235112911224301059
BaseRepresentation
bin11000011011000111011101…
…111110000010110000100110
3112002022220220211112200110110
4120123013131332002300212
5103034403104122302010
61020242253103033450
731424406343502016
oct3033073576026046
9462286824480413
10107416561134630
1131254120464440
121006a070b9b886
1347c24521a4447
141c74dbc8c9c46
15c642407a0120
hex61b1ddf82c26

107416561134630 has 64 divisors (see below), whose sum is σ = 290933883475200. Its totient is φ = 25142434369920.

The previous prime is 107416561134613. The next prime is 107416561134667. The reversal of 107416561134630 is 36431165614701.

It is a happy number.

107416561134630 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 107416561134630.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5612140960 + ... + 5612160099.

It is an arithmetic number, because the mean of its divisors is an integer number (4545841929300).

Almost surely, 2107416561134630 is an apocalyptic number.

107416561134630 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

107416561134630 is an abundant number, since it is smaller than the sum of its proper divisors (183517322340570).

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

107416561134630 is a wasteful number, since it uses less digits than its factorization.

107416561134630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11224301109.

The product of its (nonzero) digits is 1088640, while the sum is 48.

The spelling of 107416561134630 in words is "one hundred seven trillion, four hundred sixteen billion, five hundred sixty-one million, one hundred thirty-four thousand, six hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 29 30 33 55 58 66 87 110 145 165 174 290 319 330 435 638 870 957 1595 1914 3190 4785 9570 11224301059 22448602118 33672903177 56121505295 67345806354 112243010590 123467311649 168364515885 246934623298 325504730711 336729031770 370401934947 617336558245 651009461422 740803869894 976514192133 1234673116490 1627523653555 1852009674735 1953028384266 3255047307110 3580552037821 3704019349470 4882570960665 7161104075642 9765141921330 10741656113463 17902760189105 21483312226926 35805520378210 53708280567315 107416561134630