Search a number
-
+
252033242330252 = 221761631063956527
BaseRepresentation
bin111001010011100100001111…
…111000010111010010001100
31020001101010211222221112000002
4321103210033320113102030
5231013303040014032002
62252010250110223432
7104041541460504515
oct7123441770272214
91201333758845002
10252033242330252
117333a774890a29
1224325892ab4b78
13aa8282c27b206
14463468c9ada0c
151e20e6a2b6002
hexe5390fe1748c

252033242330252 has 48 divisors (see below), whose sum is σ = 467130713978880. Its totient is φ = 118571390376192.

The previous prime is 252033242330249. The next prime is 252033242330279.

252033242330252 is nontrivially palindromic in base 10.

252033242330252 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 4458606413 + ... + 4458662939.

It is an arithmetic number, because the mean of its divisors is an integer number (9731889874560).

Almost surely, 2252033242330252 is an apocalyptic number.

It is an amenable number.

252033242330252 is a deficient number, since it is larger than the sum of its proper divisors (215097471648628).

252033242330252 is a wasteful number, since it uses less digits than its factorization.

252033242330252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73350 (or 73348 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 38.

The spelling of 252033242330252 in words is "two hundred fifty-two trillion, thirty-three billion, two hundred forty-two million, three hundred thirty thousand, two hundred fifty-two".

Divisors: 1 2 4 17 34 68 6163 10639 12326 21278 24652 42556 56527 104771 113054 180863 209542 226108 361726 419084 723452 960959 1921918 3843836 65568157 131136314 262272628 348375901 601390753 696751802 1114658669 1202781506 1393503604 2229317338 2405563012 4458634676 5922390317 10223642801 11844780634 20447285602 23689561268 40894571204 3706371210739 7412742421478 14825484842956 63008310582563 126016621165126 252033242330252