Search a number
-
+
252303502252540 = 22512799332087501
BaseRepresentation
bin111001010111011111111100…
…101000001001100111111100
31020002022222102212200001201111
4321113133330220021213330
5231032220033034040130
62252334343454251404
7104100216663110224
oct7127377450114774
91202288385601644
10252303502252540
1173434350534702
122436a1384b6b64
13aaa216c81c7ab
1446437aa007084
151e27ed6a9002a
hexe577fca099fc

252303502252540 has 24 divisors (see below), whose sum is σ = 534009302410752. Its totient is φ = 100126744200000.

The previous prime is 252303502252537. The next prime is 252303502252631. The reversal of 252303502252540 is 45252205303252.

It is a junction number, because it is equal to n+sod(n) for n = 252303502252493 and 252303502252502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 49666041211 + ... + 49666046290.

It is an arithmetic number, because the mean of its divisors is an integer number (22250387600448).

Almost surely, 2252303502252540 is an apocalyptic number.

252303502252540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252303502252540 is an abundant number, since it is smaller than the sum of its proper divisors (281705800158212).

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

252303502252540 is a wasteful number, since it uses less digits than its factorization.

252303502252540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99332087637 (or 99332087635 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 40.

Adding to 252303502252540 its reverse (45252205303252), we get a palindrome (297555707555792).

The spelling of 252303502252540 in words is "two hundred fifty-two trillion, three hundred three billion, five hundred two million, two hundred fifty-two thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 127 254 508 635 1270 2540 99332087501 198664175002 397328350004 496660437505 993320875010 1986641750020 12615175112627 25230350225254 50460700450508 63075875563135 126151751126270 252303502252540