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12252141984 = 253472715457
BaseRepresentation
bin10110110100100100…
…01101100110100000
31011121212120022010110
423122102031212200
5200043022020414
65343433531320
7612422326365
oct133222154640
934555508113
1012252141984
115218018685
12245b273b40
131203477174
148432d446c
154ba979459
hex2da48d9a0

12252141984 has 48 divisors (see below), whose sum is σ = 32846179968. Its totient is φ = 3997151232.

The previous prime is 12252141977. The next prime is 12252142069. The reversal of 12252141984 is 48914125221.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×122521419843 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1353217 + ... + 1362240.

It is an arithmetic number, because the mean of its divisors is an integer number (684295416).

Almost surely, 212252141984 is an apocalyptic number.

It is an amenable number.

12252141984 is an abundant number, since it is smaller than the sum of its proper divisors (20594037984).

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

12252141984 is a wasteful number, since it uses less digits than its factorization.

12252141984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2715517 (or 2715509 counting only the distinct ones).

The product of its digits is 46080, while the sum is 39.

The spelling of 12252141984 in words is "twelve billion, two hundred fifty-two million, one hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 47 48 94 96 141 188 282 376 564 752 1128 1504 2256 4512 2715457 5430914 8146371 10861828 16292742 21723656 32585484 43447312 65170968 86894624 127626479 130341936 255252958 260683872 382879437 510505916 765758874 1021011832 1531517748 2042023664 3063035496 4084047328 6126070992 12252141984