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53135304244002 = 2328293821931921
BaseRepresentation
bin11000001010011100001101…
…11011110011101100100010
320222010200111201020022002100
430011032012323303230202
523431032100341302002
6305002004412231230
714122620241653621
oct1405160673635442
9228120451208070
1053135304244002
1115a26613013a22
125b61b89a6b516
13238583a00ba06
14d19a962276b8
15622287c1a11c
hex305386ef3b22

53135304244002 has 48 divisors (see below), whose sum is σ = 115295656465080. Its totient is φ = 17685754099200.

The previous prime is 53135304243991. The next prime is 53135304244049. The reversal of 53135304244002 is 20044240353135.

53135304244002 is a `hidden beast` number, since 53 + 13 + 530 + 4 + 24 + 40 + 0 + 2 = 666.

53135304244002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 52731430012881 + 403874231121 = 7261641^2 + 635511^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 56551002 + ... + 57482922.

Almost surely, 253135304244002 is an apocalyptic number.

53135304244002 is an abundant number, since it is smaller than the sum of its proper divisors (62160352221078).

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

53135304244002 is a wasteful number, since it uses less digits than its factorization.

53135304244002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 936579 (or 936576 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 36.

Adding to 53135304244002 its reverse (20044240353135), we get a palindrome (73179544597137).

The spelling of 53135304244002 in words is "fifty-three trillion, one hundred thirty-five billion, three hundred four million, two hundred forty-four thousand, two".

Divisors: 1 2 3 6 9 18 829 1658 2487 3821 4974 7461 7642 11463 14922 22926 34389 68778 931921 1863842 2795763 3167609 5591526 6335218 8387289 9502827 16774578 19005654 28508481 57016962 772562509 1545125018 2317687527 3560870141 4635375054 6953062581 7121740282 10682610423 13906125162 21365220846 32047831269 64095662538 2951961346889 5903922693778 8855884040667 17711768081334 26567652122001 53135304244002