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159112996 = 2272172532
BaseRepresentation
bin10010111101111…
…01111100100100
3102002101202222221
421132331330210
5311213103441
623442202124
73641303200
oct1136757444
9362352887
10159112996
11818a6a49
1245353344
1326c6cb03
14171bbb00
15de7e8d1
hex97bdf24

159112996 has 81 divisors (see below), whose sum is σ = 350697459. Its totient is φ = 62969088.

The previous prime is 159112991. The next prime is 159112997. The reversal of 159112996 is 699211951.

The square root of 159112996 is 12614.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 39866596 + 119246400 = 6314^2 + 10920^2 .

It is not an unprimeable number, because it can be changed into a prime (159112991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3002106 + ... + 3002158.

Almost surely, 2159112996 is an apocalyptic number.

159112996 is the 12614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159112996

159112996 is an abundant number, since it is smaller than the sum of its proper divisors (191584463).

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

159112996 is a wasteful number, since it uses less digits than its factorization.

159112996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

The product of its digits is 43740, while the sum is 43.

The cubic root of 159112996 is about 541.8784557001.

The spelling of 159112996 in words is "one hundred fifty-nine million, one hundred twelve thousand, nine hundred ninety-six".

Divisors: 1 2 4 7 14 17 28 34 49 53 68 98 106 119 196 212 238 289 371 476 578 742 833 901 1156 1484 1666 1802 2023 2597 2809 3332 3604 4046 5194 5618 6307 8092 10388 11236 12614 14161 15317 19663 25228 28322 30634 39326 44149 47753 56644 61268 78652 88298 95506 107219 137641 176596 191012 214438 275282 334271 428876 550564 668542 750533 811801 1337084 1501066 1623602 2339897 3002132 3247204 4679794 5682607 9359588 11365214 22730428 39778249 79556498 159112996