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38107113198 = 23711178395783
BaseRepresentation
bin100011011111010111…
…000110011011101110
310122100202020220221220
4203133113012123232
51111020410110243
625301155404210
72516221055250
oct433727063356
9118322226856
1038107113198
1115185521190
127475bb3666
133793b6c5bb
141bb7035cd0
15ed0731783
hex8df5c66ee

38107113198 has 128 divisors (see below), whose sum is σ = 100747100160. Its totient is φ = 9303006720.

The previous prime is 38107113167. The next prime is 38107113217. The reversal of 38107113198 is 89131170183.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6586615 + ... + 6592397.

It is an arithmetic number, because the mean of its divisors is an integer number (787086720).

Almost surely, 238107113198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 38107113198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50373550080).

38107113198 is an abundant number, since it is smaller than the sum of its proper divisors (62639986962).

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

38107113198 is a wasteful number, since it uses less digits than its factorization.

38107113198 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6662.

The product of its (nonzero) digits is 36288, while the sum is 42.

The spelling of 38107113198 in words is "thirty-eight billion, one hundred seven million, one hundred thirteen thousand, one hundred ninety-eight".

Divisors: 1 2 3 6 7 11 14 17 21 22 33 34 42 51 66 77 102 119 154 187 231 238 357 374 462 561 714 839 1122 1309 1678 2517 2618 3927 5034 5783 5873 7854 9229 11566 11746 14263 17349 17619 18458 27687 28526 34698 35238 40481 42789 55374 63613 64603 80962 85578 98311 99841 121443 127226 129206 156893 190839 193809 196622 199682 242886 294933 299523 313786 381678 387618 445291 470679 589866 599046 688177 890582 941358 1081421 1098251 1335873 1376354 2064531 2162842 2196502 2671746 3244263 3294753 4129062 4851937 6488526 6589506 7569947 9703874 14555811 15139894 22709841 29111622 33963559 45419682 53371307 67927118 82482929 101890677 106742614 160113921 164965858 203781354 247448787 320227842 373599149 494897574 577380503 747198298 907312219 1120797447 1154761006 1732141509 1814624438 2241594894 2721936657 3464283018 5443873314 6351185533 12702371066 19053556599 38107113198