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252042404240252 = 227313741281152623
BaseRepresentation
bin111001010011101100110001…
…111110010001101101111100
31020001102000111111200202210002
4321103230301332101231330
5231013430320441142002
62252014403153533432
7104042314510451423
oct7123546176215574
91201360444622702
10252042404240252
117334364650957a
122432760b274278
13aa8365c43a432
144634cbb6d02ba
151e213047c6002
hexe53b31f91b7c

252042404240252 has 48 divisors (see below), whose sum is σ = 450393803728512. Its totient is φ = 123383824957440.

The previous prime is 252042404240219. The next prime is 252042404240293.

252042404240252 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1651328813 + ... + 1651481435.

It is an arithmetic number, because the mean of its divisors is an integer number (9383204244344).

Almost surely, 2252042404240252 is an apocalyptic number.

It is an amenable number.

252042404240252 is a deficient number, since it is larger than the sum of its proper divisors (198351399488260).

252042404240252 is a wasteful number, since it uses less digits than its factorization.

252042404240252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194118 (or 194116 counting only the distinct ones).

The product of its (nonzero) digits is 409600, while the sum is 38.

It can be divided in two parts, 25204240 and 4240252, that added together give a palindrome (29444492).

The spelling of 252042404240252 in words is "two hundred fifty-two trillion, forty-two billion, four hundred four million, two hundred forty thousand, two hundred fifty-two".

Divisors: 1 2 4 73 137 146 274 292 548 10001 20002 40004 41281 82562 152623 165124 305246 610492 3013513 5655497 6027026 11141479 11310994 12054052 20909351 22282958 22621988 41818702 44565916 83637404 412851281 825702562 1526382623 1651405124 3052765246 6105530492 6300430063 12600860126 25201720252 459931394599 863158918631 919862789198 1726317837262 1839725578396 3452635674524 63010601060063 126021202120126 252042404240252