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115650131664 = 243107120118749
BaseRepresentation
bin110101110110101001…
…0001111011011010000
3102001111212010101220210
41223231102033123100
53343322413203124
6125043503404120
711232626620344
oct1535522173320
9361455111823
10115650131664
1145057536711
121a4b6bb3640
13aba0c57692
14585175b624
15301d170a29
hex1aed48f6d0

115650131664 has 80 divisors (see below), whose sum is σ = 301822200000. Its totient is φ = 38155929600.

The previous prime is 115650131629. The next prime is 115650131669. The reversal of 115650131664 is 466131056511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115650131669) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6158962 + ... + 6177710.

It is an arithmetic number, because the mean of its divisors is an integer number (3772777500).

Almost surely, 2115650131664 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 115650131664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150911100000).

115650131664 is an abundant number, since it is smaller than the sum of its proper divisors (186172068336).

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

115650131664 is a wasteful number, since it uses less digits than its factorization.

115650131664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20068 (or 20062 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

The spelling of 115650131664 in words is "one hundred fifteen billion, six hundred fifty million, one hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 107 214 321 428 642 856 1201 1284 1712 2402 2568 3603 4804 5136 7206 9608 14412 18749 19216 28824 37498 56247 57648 74996 112494 128507 149992 224988 257014 299984 385521 449976 514028 771042 899952 1028056 1542084 2006143 2056112 3084168 4012286 6018429 6168336 8024572 12036858 16049144 22517549 24073716 32098288 45035098 48147432 67552647 90070196 96294864 135105294 180140392 270210588 360280784 540421176 1080842352 2409377743 4818755486 7228133229 9637510972 14456266458 19275021944 28912532916 38550043888 57825065832 115650131664