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115012352532 = 223721197183317
BaseRepresentation
bin110101100011101000…
…1010011101000010100
3101222212102000212102110
41223013101103220110
53341021130240112
6124500321511020
711211053603100
oct1530721235024
9358772025373
10115012352532
114485a524820
121a3594a2470
13aacba9208c
1457d0b7c900
152ed218e13c
hex1ac7453a14

115012352532 has 144 divisors (see below), whose sum is σ = 344068820928. Its totient is φ = 29565204480.

The previous prime is 115012352503. The next prime is 115012352563. The reversal of 115012352532 is 235253210511.

It is a super-2 number, since 2×1150123525322 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 115012352532.

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 47 ways as a sum of consecutive naturals, for example, 535738 + ... + 719054.

It is an arithmetic number, because the mean of its divisors is an integer number (2389366812).

Almost surely, 2115012352532 is an apocalyptic number.

115012352532 is a gapful number since it is divisible by the number (12) 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 115012352532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172034410464).

115012352532 is an abundant number, since it is smaller than the sum of its proper divisors (229056468396).

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

115012352532 is a wasteful number, since it uses less digits than its factorization.

115012352532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183446 (or 183437 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 30.

The spelling of 115012352532 in words is "one hundred fifteen billion, twelve million, three hundred fifty-two thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 7 11 12 14 21 22 28 33 42 44 49 66 77 84 97 98 132 147 154 194 196 231 291 294 308 388 462 539 582 588 679 924 1067 1078 1164 1358 1617 2037 2134 2156 2716 3201 3234 4074 4268 4753 6402 6468 7469 8148 9506 12804 14259 14938 19012 22407 28518 29876 44814 52283 57036 89628 104566 156849 183317 209132 313698 366634 549951 627396 733268 1099902 1283219 2016487 2199804 2566438 3849657 4032974 5132876 6049461 7699314 8065948 8982533 12098922 14115409 15398628 17781749 17965066 24197844 26947599 28230818 35563498 35930132 42346227 53345247 53895198 56461636 71126996 84692454 98807863 106690494 107790396 124472243 169384908 195599239 197615726 213380988 248944486 296423589 373416729 391198478 395231452 497888972 586797717 592847178 746833458 782396956 871305701 1173595434 1185694356 1369194673 1493666916 1742611402 2347190868 2613917103 2738389346 3485222804 4107584019 5227834206 5476778692 8215168038 9584362711 10455668412 16430336076 19168725422 28753088133 38337450844 57506176266 115012352532