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115033134524 = 227111756938611
BaseRepresentation
bin110101100100010000…
…0100101010110111100
3101222220212010200221212
41223020200211112330
53341041440301044
6124502343143552
711211425340020
oct1531040452674
9358825120855
10115033134524
1144870229620
121a364444bb8
13ab0318a409
1457d382c380
152ed3de6a9e
hex1ac88255bc

115033134524 has 96 divisors (see below), whose sum is σ = 266218928640. Its totient is φ = 42106521600.

The previous prime is 115033134511. The next prime is 115033134527. The reversal of 115033134524 is 425431330511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115033134527) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 2959979 + ... + 2998589.

It is an arithmetic number, because the mean of its divisors is an integer number (2773113840).

Almost surely, 2115033134524 is an apocalyptic number.

115033134524 is a gapful number since it is divisible by the number (14) 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 115033134524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133109464320).

115033134524 is an abundant number, since it is smaller than the sum of its proper divisors (151185794116).

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

115033134524 is a wasteful number, since it uses less digits than its factorization.

115033134524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39219 (or 39217 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 32.

The spelling of 115033134524 in words is "one hundred fifteen billion, thirty-three million, one hundred thirty-four thousand, five hundred twenty-four".

Divisors: 1 2 4 7 11 14 17 22 28 34 44 68 77 119 154 187 238 308 374 476 569 748 1138 1309 2276 2618 3983 5236 6259 7966 9673 12518 15932 19346 25036 38611 38692 43813 67711 77222 87626 106403 135422 154444 175252 212806 270277 270844 424721 425612 540554 656387 744821 849442 1081108 1312774 1489642 1698884 2625548 2973047 2979284 4594709 5946094 7220257 9189418 11892188 14440514 18378836 21969659 28881028 43939318 50541799 87878636 101083598 153787613 202167196 241666249 307575226 373484203 483332498 615150452 746968406 966664996 1493936812 1691663743 2614389421 3383327486 4108326233 5228778842 6766654972 8216652466 10457557684 16433304932 28758283631 57516567262 115033134524