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12084574568 = 23111936771051
BaseRepresentation
bin10110100000100101…
…11111100101101000
31011012012020222211212
423100102333211220
5144222122341233
65315050212252
7605316121553
oct132022774550
934165228755
1012084574568
115141477810
122413124088
1311a7837151
14828d5569a
154aadc9a48
hex2d04bf968

12084574568 has 64 divisors (see below), whose sum is σ = 24906899520. Its totient is φ = 5451264000.

The previous prime is 12084574547. The next prime is 12084574577. The reversal of 12084574568 is 86547548021.

12084574568 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11497643 + ... + 11498693.

It is an arithmetic number, because the mean of its divisors is an integer number (389170305).

Almost surely, 212084574568 is an apocalyptic number.

It is an amenable number.

12084574568 is an abundant number, since it is smaller than the sum of its proper divisors (12822324952).

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

12084574568 is a wasteful number, since it uses less digits than its factorization.

12084574568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 2150400, while the sum is 50.

The spelling of 12084574568 in words is "twelve billion, eighty-four million, five hundred seventy-four thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 193 386 677 772 1051 1354 1544 2102 2123 2708 4204 4246 5416 7447 8408 8492 11561 14894 16984 23122 29788 46244 59576 92488 130661 202843 261322 405686 522644 711527 811372 1045288 1423054 1437271 1622744 2231273 2846108 2874542 4462546 5692216 5749084 7826797 8925092 11498168 15653594 17850184 31307188 62614376 137324711 274649422 549298844 1098597688 1510571821 3021143642 6042287284 12084574568