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115927650496 = 2674314094271
BaseRepresentation
bin110101111110111010…
…0111001000011000000
3102002020012022211012001
41223331310321003000
53344404434303441
6125131215513344
711242536525220
oct1537564710300
9362205284161
10115927650496
114518a155719
121a573b28854
13ac165b38c8
14587a55c080
1530376dd731
hex1afdd390c0

115927650496 has 112 divisors (see below), whose sum is σ = 269275438080. Its totient is φ = 48482058240.

The previous prime is 115927650479. The next prime is 115927650497. The reversal of 115927650496 is 694056729511.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (115927650497) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27140841 + ... + 27145111.

Almost surely, 2115927650496 is an apocalyptic number.

115927650496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115927650496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134637719040).

115927650496 is an abundant number, since it is smaller than the sum of its proper divisors (153347787584).

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

115927650496 is a wasteful number, since it uses less digits than its factorization.

115927650496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5742 (or 5732 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 55.

The spelling of 115927650496 in words is "one hundred fifteen billion, nine hundred twenty-seven million, six hundred fifty thousand, four hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 64 86 112 172 224 301 344 448 602 688 1204 1376 1409 2408 2752 2818 4271 4816 5636 8542 9632 9863 11272 17084 19264 19726 22544 29897 34168 39452 45088 59794 60587 68336 78904 90176 119588 121174 136672 157808 183653 239176 242348 273344 315616 367306 424109 478352 484696 631232 734612 848218 956704 969392 1285571 1469224 1696436 1913408 1938784 2571142 2938448 3392872 3877568 5142284 5876896 6017839 6785744 10284568 11753792 12035678 13571488 20569136 24071356 27142976 41138272 42124873 48142712 82276544 84249746 96285424 168499492 192570848 258767077 336998984 385141696 517534154 673997968 1035068308 1347995936 1811369539 2070136616 2695991872 3622739078 4140273232 7245478156 8280546464 14490956312 16561092928 28981912624 57963825248 115927650496