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115046235252 = 22341353515357
BaseRepresentation
bin110101100100101001…
…0100011110001110100
3101222221202210021210000
41223021102203301310
53341103314012002
6124503532031300
711211644602404
oct1531122436164
9358852707700
10115046235252
1144877667373
121a368902530
13ab05ac6420
1457d547c804
152ed513361c
hex1ac94a3c74

115046235252 has 120 divisors (see below), whose sum is σ = 330000218856. Its totient is φ = 34730871552.

The previous prime is 115046235191. The next prime is 115046235253. The reversal of 115046235252 is 252532640511.

115046235252 is a `hidden beast` number, since 1 + 1 + 5 + 0 + 4 + 623 + 5 + 25 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4612311396 + 110433923856 = 67914^2 + 332316^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115046235253) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 34443 + ... + 480914.

Almost surely, 2115046235252 is an apocalyptic number.

115046235252 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 115046235252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165000109428).

115046235252 is an abundant number, since it is smaller than the sum of its proper divisors (214953983604).

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

115046235252 is a wasteful number, since it uses less digits than its factorization.

115046235252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515439 (or 515428 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

Adding to 115046235252 its reverse (252532640511), we get a palindrome (367578875763).

The spelling of 115046235252 in words is "one hundred fifteen billion, forty-six million, two hundred thirty-five thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 53 54 78 81 106 108 117 156 159 162 212 234 318 324 351 468 477 636 689 702 954 1053 1378 1404 1431 1908 2067 2106 2756 2862 4134 4212 4293 5724 6201 8268 8586 12402 17172 18603 24804 37206 55809 74412 111618 223236 515357 1030714 1546071 2061428 3092142 4638213 6184284 6699641 9276426 13399282 13914639 18552852 20098923 26798564 27313921 27829278 40197846 41743917 54627842 55658556 60296769 80395692 81941763 83487834 109255684 120593538 163883526 166975668 180890307 241187076 245825289 327767052 355080973 361780614 491650578 542670921 710161946 723561228 737475867 983301156 1065242919 1085341842 1420323892 1474951734 2130485838 2170683684 2212427601 2949903468 3195728757 4260971676 4424855202 6391457514 8849710404 9587186271 12782915028 19174372542 28761558813 38348745084 57523117626 115046235252