Search a number
-
+
115010675730 = 232529109740169
BaseRepresentation
bin110101100011100101…
…0111010010000010010
3101222212021212200021200
41223013022322100102
53341020213110410
6124500221532030
711211033420336
oct1530712722022
9358767780250
10115010675730
1144859589a35
121a358a14016
13aacb625aa2
1457d08637c6
152ed1e5c3c0
hex1ac72ba412

115010675730 has 96 divisors (see below), whose sum is σ = 309628753200. Its totient is φ = 29584214016.

The previous prime is 115010675719. The next prime is 115010675743. The reversal of 115010675730 is 37576010511.

115010675730 is a `hidden beast` number, since 1 + 15 + 0 + 10 + 67 + 573 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 75328840521 + 39681835209 = 274461^2 + 199203^2 .

It is a super-2 number, since 2×1150106757302 (a number of 23 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 2843086 + ... + 2883254.

Almost surely, 2115010675730 is an apocalyptic number.

115010675730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 115010675730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154814376600).

115010675730 is an abundant number, since it is smaller than the sum of its proper divisors (194618077470).

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

115010675730 is a wasteful number, since it uses less digits than its factorization.

115010675730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41308 (or 41305 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 36.

The spelling of 115010675730 in words is "one hundred fifteen billion, ten million, six hundred seventy-five thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 29 30 45 58 87 90 145 174 261 290 435 522 870 1097 1305 2194 2610 3291 5485 6582 9873 10970 16455 19746 31813 32910 40169 49365 63626 80338 95439 98730 120507 159065 190878 200845 241014 286317 318130 361521 401690 477195 572634 602535 723042 954390 1164901 1205070 1431585 1807605 2329802 2863170 3494703 3615210 5824505 6989406 10484109 11649010 17473515 20968218 34947030 44065393 52420545 88130786 104841090 132196179 220326965 264392358 396588537 440653930 660980895 793177074 1277896397 1321961790 1982942685 2555792794 3833689191 3965885370 6389481985 7667378382 11501067573 12778963970 19168445955 23002135146 38336891910 57505337865 115010675730