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115924977032 = 23172732972
BaseRepresentation
bin110101111110110101…
…0101100010110001000
3102002020000021222212212
41223331222230112020
53344403243231112
6125131042324252
711242505021654
oct1537552542610
9362200258785
10115924977032
114518869a047
121a573059688
13ac15b88a87
14587a063a64
153037361522
hex1afdaac588

115924977032 has 108 divisors (see below), whose sum is σ = 236541908205. Its totient is φ = 53250932736.

The previous prime is 115924977023. The next prime is 115924977037. The reversal of 115924977032 is 230779429511.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 14 ways, for example, as 10939904836 + 104985072196 = 104594^2 + 324014^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=240754.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115924977037) 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, 1195102808 + ... + 1195102904.

Almost surely, 2115924977032 is an apocalyptic number.

It is an amenable number.

115924977032 is an abundant number, since it is smaller than the sum of its proper divisors (120616931173).

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

115924977032 is an frugal number, since it uses more digits than its factorization.

115924977032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 380 (or 189 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 50.

Multiplying 115924977032 by its sum of digits (50), we get a square (5796248851600 = 24075402).

The spelling of 115924977032 in words is "one hundred fifteen billion, nine hundred twenty-four million, nine hundred seventy-seven thousand, thirty-two".

Divisors: 1 2 4 8 17 34 68 73 97 136 146 194 289 292 388 578 584 776 1156 1241 1649 2312 2482 3298 4964 5329 6596 7081 9409 9928 10658 13192 14162 18818 21097 21316 28033 28324 37636 42194 42632 56066 56648 75272 84388 90593 112132 120377 159953 168776 181186 224264 240754 319906 362372 481508 516913 639812 686857 724744 963016 1033826 1279624 1373714 1540081 2046409 2067652 2719201 2747428 3080162 4092818 4135304 5438402 5494856 6160324 8185636 8787521 10876804 11676569 12320648 16371272 17575042 21753608 23353138 35150084 46706276 50140561 70300168 93412552 100281122 149387857 198501673 200562244 298775714 397003346 401124488 597551428 794006692 852389537 1195102856 1588013384 1704779074 3409558148 6819116296 14490622129 28981244258 57962488516 115924977032