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115288769764 = 22727923072
BaseRepresentation
bin110101101011110111…
…1110000010011100100
3102000120200011022120201
41223113233300103210
53342102411113024
6124543554240244
711220651242200
oct1532757602344
9360520138521
10115288769764
1144991561113
121a415b86084
13ab44123a7c
145819773b00
152eeb590744
hex1ad7bf04e4

115288769764 has 81 divisors (see below), whose sum is σ = 238480224003. Its totient is φ = 48625130736.

The previous prime is 115288769759. The next prime is 115288769767. The reversal of 115288769764 is 467967882511.

The square root of 115288769764 is 339542.

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

It is a junction number, because it is equal to n+sod(n) for n = 115288769696 and 115288769705.

It is not an unprimeable number, because it can be changed into a prime (115288769767) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 375533299 + ... + 375533605.

Almost surely, 2115288769764 is an apocalyptic number.

115288769764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

115288769764 is the 339542-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115288769764

115288769764 is an abundant number, since it is smaller than the sum of its proper divisors (123191454239).

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

115288769764 is an frugal number, since it uses more digits than its factorization.

115288769764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 790 (or 395 counting only the distinct ones).

The product of its digits is 40642560, while the sum is 64.

Multiplying 115288769764 by its sum of digits (64), we get a square (7378481264896 = 27163362).

The spelling of 115288769764 in words is "one hundred fifteen billion, two hundred eighty-eight million, seven hundred sixty-nine thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 79 98 158 196 307 316 553 614 1106 1228 2149 2212 3871 4298 6241 7742 8596 12482 15043 15484 24253 24964 30086 43687 48506 60172 87374 94249 97012 169771 174748 188498 305809 339542 376996 611618 659743 679084 1188397 1223236 1319486 1915987 2376794 2638972 3831974 4618201 4753588 7445671 7663948 9236402 13411909 14891342 18472804 26823818 29782684 52119697 53647636 93883363 104239394 187766726 208478788 364837879 375533452 588208009 729675758 1176416018 1459351516 2352832036 4117456063 8234912126 16469824252 28822192441 57644384882 115288769764