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9961870104 = 233359213249
BaseRepresentation
bin10010100011100011…
…00001001100011000
3221201021000102202000
421101301201030120
5130400214320404
64324301241000
7501602333034
oct112161411430
927637012660
109961870104
1142522414aa
121b20263160
13c29b29bc4
146a70791c4
153d487a339
hex251c61318

9961870104 has 96 divisors (see below), whose sum is σ = 28150950000. Its totient is φ = 3264095232.

The previous prime is 9961870063. The next prime is 9961870133. The reversal of 9961870104 is 4010781699.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 9961870104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 745272 + ... + 758520.

Almost surely, 29961870104 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 9961870104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14075475000).

9961870104 is an abundant number, since it is smaller than the sum of its proper divisors (18189079896).

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

9961870104 is a wasteful number, since it uses less digits than its factorization.

9961870104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13382 (or 13313 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 9961870104 is about 99809.1684365720. The cubic root of 9961870104 is about 2151.6929232751.

The spelling of 9961870104 in words is "nine billion, nine hundred sixty-one million, eight hundred seventy thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 59 72 108 118 177 216 236 354 472 531 708 1062 1416 1593 2124 3186 3481 4248 6372 6962 10443 12744 13249 13924 20886 26498 27848 31329 39747 41772 52996 62658 79494 83544 93987 105992 119241 125316 158988 187974 238482 250632 317976 357723 375948 476964 715446 751896 781691 953928 1430892 1563382 2345073 2861784 3126764 4690146 6253528 7035219 9380292 14070438 18760584 21105657 28140876 42211314 46119769 56281752 84422628 92239538 138359307 168845256 184479076 276718614 368958152 415077921 553437228 830155842 1106874456 1245233763 1660311684 2490467526 3320623368 4980935052 9961870104