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115740036864 = 28351860533
BaseRepresentation
bin110101111001010100…
…1001100111100000000
3102001202010022001200000
41223302221030330000
53344013422134424
6125100434400000
711235101036544
oct1536251147400
9361663261600
10115740036864
11450a3262831
121a521130000
13abb677541a
14585d681a24
153025ece3c9
hex1af2a4cf00

115740036864 has 108 divisors (see below), whose sum is σ = 346066766136. Its totient is φ = 38579991552.

The previous prime is 115740036851. The next prime is 115740036877. The reversal of 115740036864 is 468630047511.

115740036864 is a `hidden beast` number, since 1 + 157 + 400 + 36 + 8 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (115740036851) and next prime (115740036877).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×1157400368642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 868059 + ... + 992474.

Almost surely, 2115740036864 is an apocalyptic number.

It is an amenable number.

115740036864 is an abundant number, since it is smaller than the sum of its proper divisors (230326729272).

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

115740036864 is an frugal number, since it uses more digits than its factorization.

115740036864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1860564 (or 1860538 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 115740036864 in words is "one hundred fifteen billion, seven hundred forty million, thirty-six thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 576 648 768 864 972 1152 1296 1728 1944 2304 2592 3456 3888 5184 6912 7776 10368 15552 20736 31104 62208 1860533 3721066 5581599 7442132 11163198 14884264 16744797 22326396 29768528 33489594 44652792 50234391 59537056 66979188 89305584 100468782 119074112 133958376 150703173 178611168 200937564 238148224 267916752 301406346 357222336 401875128 452109519 476296448 535833504 602812692 714444672 803750256 904219038 1071667008 1205625384 1428889344 1607500512 1808438076 2143334016 2411250768 3215001024 3616876152 4286668032 4822501536 6430002048 7233752304 9645003072 12860004096 14467504608 19290006144 28935009216 38580012288 57870018432 115740036864