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252216626364 = 223314915673417
BaseRepresentation
bin1110101011100101001…
…0000100110010111100
3220010000102002010212000
43222321102010302330
513113014424020424
6311511113342300
724136106644203
oct3527122046274
9803012063760
10252216626364
1197a6778a46a
1240a6aa07990
131aa26392221
14c2c8d7a23a
15686271c3c9
hex3ab9484cbc

252216626364 has 48 divisors (see below), whose sum is σ = 658283556000. Its totient is φ = 83507960448.

The previous prime is 252216626323. The next prime is 252216626381. The reversal of 252216626364 is 463626612252.

252216626364 is a `hidden beast` number, since 2 + 5 + 2 + 2 + 1 + 6 + 6 + 2 + 636 + 4 = 666.

252216626364 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2522166263642 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7820617 + ... + 7852800.

It is an arithmetic number, because the mean of its divisors is an integer number (13714240750).

Almost surely, 2252216626364 is an apocalyptic number.

It is an amenable number.

252216626364 is an abundant number, since it is smaller than the sum of its proper divisors (406066929636).

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

252216626364 is a wasteful number, since it uses less digits than its factorization.

252216626364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15673579 (or 15673571 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 252216626364 in words is "two hundred fifty-two billion, two hundred sixteen million, six hundred twenty-six thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 149 298 447 596 894 1341 1788 2682 4023 5364 8046 16092 15673417 31346834 47020251 62693668 94040502 141060753 188081004 282121506 423182259 564243012 846364518 1692729036 2335339133 4670678266 7006017399 9341356532 14012034798 21018052197 28024069596 42036104394 63054156591 84072208788 126108313182 252216626364