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15071518242 = 2321127394793
BaseRepresentation
bin11100000100101010…
…10001111000100010
31102220100201110021100
432002111101320202
5221331302040432
610531310535230
71042325535264
oct160225217042
942810643240
1015071518242
11643452a800
122b07507516
1315625c9941
14a2d91db34
155d324007c
hex382551e22

15071518242 has 72 divisors (see below), whose sum is σ = 36385539372. Its totient is φ = 4504515840.

The previous prime is 15071518213. The next prime is 15071518243. The reversal of 15071518242 is 24281517051.

It is a happy number.

15071518242 is a `hidden beast` number, since 1 + 50 + 71 + 518 + 24 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 13623791841 + 1447726401 = 116721^2 + 38049^2 .

It is a junction number, because it is equal to n+sod(n) for n = 15071518197 and 15071518206.

It is not an unprimeable number, because it can be changed into a prime (15071518243) 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, 111598 + ... + 206390.

Almost surely, 215071518242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15071518242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18192769686).

15071518242 is an abundant number, since it is smaller than the sum of its proper divisors (21314021130).

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

15071518242 is a wasteful number, since it uses less digits than its factorization.

15071518242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94896 (or 94882 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The spelling of 15071518242 in words is "fifteen billion, seventy-one million, five hundred eighteen thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 73 99 121 146 198 219 242 363 438 657 726 803 1089 1314 1606 2178 2409 4818 7227 8833 14454 17666 26499 52998 79497 94793 158994 189586 284379 568758 853137 1042723 1706274 2085446 3128169 6256338 6919889 9384507 11469953 13839778 18769014 20759667 22939906 34409859 41519334 62279001 68819718 76118779 103229577 124558002 152237558 206459154 228356337 456712674 685069011 837306569 1370138022 1674613138 2511919707 5023839414 7535759121 15071518242