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252442040244252 = 223389223493241973
BaseRepresentation
bin111001011001100000111110…
…001000101001100000011100
31020002211020000211100020010120
4321121200332020221200130
5231042002244300304002
62252522134452234540
7104113223042443545
oct7131407610514034
91202736024306116
10252442040244252
1173488082627331
1224390b6060ba50
13aab224a531c11
14464a38d3c14cc
151e2b8e426dcbc
hexe5983e22981c

252442040244252 has 48 divisors (see below), whose sum is σ = 590550729743520. Its totient is φ = 83930307259648.

The previous prime is 252442040244223. The next prime is 252442040244263.

252442040244252 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, 1043144338 + ... + 1043386310.

It is an arithmetic number, because the mean of its divisors is an integer number (12303140202990).

Almost surely, 2252442040244252 is an apocalyptic number.

It is an amenable number.

252442040244252 is an abundant number, since it is smaller than the sum of its proper divisors (338108689499268).

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

252442040244252 is a wasteful number, since it uses less digits than its factorization.

252442040244252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 465862 (or 465860 counting only the distinct ones).

The product of its (nonzero) digits is 1638400, while the sum is 42.

The spelling of 252442040244252 in words is "two hundred fifty-two trillion, four hundred forty-two billion, forty million, two hundred forty-four thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 12 389 778 1167 1556 2334 4668 223493 241973 446986 483946 670479 725919 893972 967892 1340958 1451838 2681916 2903676 86938777 94127497 173877554 188254994 260816331 282382491 347755108 376509988 521632662 564764982 1043265324 1129529964 54079271689 108158543378 162237815067 216317086756 324475630134 648951260268 21036836687021 42073673374042 63110510061063 84147346748084 126221020122126 252442040244252