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14412351632 = 2472310354319
BaseRepresentation
bin11010110110000101…
…10000100010010000
31101012102101022200012
431123002300202100
5214004030223012
610342042414052
71020102652610
oct153302604220
941172338605
1014412351632
116126440108
122962801328
131488b86523
149aa174a40
15595436622
hex35b0b0890

14412351632 has 80 divisors (see below), whose sum is σ = 33624514560. Its totient is φ = 5850700416.

The previous prime is 14412351571. The next prime is 14412351683. The reversal of 14412351632 is 23615321441.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238169 + ... + 292487.

It is an arithmetic number, because the mean of its divisors is an integer number (420306432).

Almost surely, 214412351632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14412351632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16812257280).

14412351632 is an abundant number, since it is smaller than the sum of its proper divisors (19212162928).

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

14412351632 is a wasteful number, since it uses less digits than its factorization.

14412351632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54460 (or 54454 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The spelling of 14412351632 in words is "fourteen billion, four hundred twelve million, three hundred fifty-one thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 23 28 46 56 92 103 112 161 184 206 322 368 412 644 721 824 1288 1442 1648 2369 2576 2884 4738 5768 9476 11536 16583 18952 33166 37904 54319 66332 108638 132664 217276 265328 380233 434552 760466 869104 1249337 1520932 2498674 3041864 4997348 5594857 6083728 8745359 9994696 11189714 17490718 19989392 22379428 34981436 39163999 44758856 69962872 78327998 89517712 128681711 139925744 156655996 257363422 313311992 514726844 626623984 900771977 1029453688 1801543954 2058907376 3603087908 7206175816 14412351632