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115561016316 = 223247213710607
BaseRepresentation
bin110101110011111111…
…0010010101111111100
3102001021122102212122100
41223213332102233330
53343132110010231
6125031001345100
711230465301004
oct1534776225774
9361248385570
10115561016316
11450111a9a69
121a491198190
13ab886552c5
1458439a1004
15301541b1e6
hex1ae7f92bfc

115561016316 has 108 divisors (see below), whose sum is σ = 300666850848. Its totient is φ = 37422040704.

The previous prime is 115561016303. The next prime is 115561016317. The reversal of 115561016316 is 613610165511.

115561016316 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 10 + 1 + 631 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115561016317) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10889485 + ... + 10900091.

Almost surely, 2115561016316 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 115561016316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150333425424).

115561016316 is an abundant number, since it is smaller than the sum of its proper divisors (185105834532).

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

115561016316 is a wasteful number, since it uses less digits than its factorization.

115561016316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10796 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 36.

The spelling of 115561016316 in words is "one hundred fifteen billion, five hundred sixty-one million, sixteen thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 137 141 188 274 282 411 423 548 564 822 846 1233 1644 1692 2209 2466 4418 4932 6439 6627 8836 10607 12878 13254 19317 19881 21214 25756 26508 31821 38634 39762 42428 57951 63642 77268 79524 95463 115902 127284 190926 231804 302633 381852 498529 605266 907899 997058 1210532 1453159 1495587 1815798 1994116 2723697 2906318 2991174 3631596 4359477 4486761 5447394 5812636 5982348 8718954 8973522 10894788 13078431 17437908 17947044 23430863 26156862 46861726 52313724 68298473 70292589 93723452 136596946 140585178 204895419 210877767 273193892 281170356 409790838 421755534 614686257 819581676 843511068 1229372514 2458745028 3210028231 6420056462 9630084693 12840112924 19260169386 28890254079 38520338772 57780508158 115561016316