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14167982928 = 24311219128389
BaseRepresentation
bin11010011000111101…
…00100001101010000
31100120101120002211110
431030132210031100
5213004000423203
610301513013320
71011044603451
oct151436441520
940511502743
1014167982928
116010503300
1228b49b4240
13144a366068
14985923128
1557dc65d03
hex34c7a4350

14167982928 has 120 divisors (see below), whose sum is σ = 42348157600. Its totient is φ = 4067331840.

The previous prime is 14167982923. The next prime is 14167982929. The reversal of 14167982928 is 82928976141.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14167982921) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46158 + ... + 174546.

Almost surely, 214167982928 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 14167982928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21174078800).

14167982928 is an abundant number, since it is smaller than the sum of its proper divisors (28180174672).

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

14167982928 is a wasteful number, since it uses less digits than its factorization.

14167982928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128441 (or 128424 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 57.

The spelling of 14167982928 in words is "fourteen billion, one hundred sixty-seven million, nine hundred eighty-two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 19 22 24 33 38 44 48 57 66 76 88 114 121 132 152 176 209 228 242 264 304 363 418 456 484 528 627 726 836 912 968 1254 1452 1672 1936 2299 2508 2904 3344 4598 5016 5808 6897 9196 10032 13794 18392 27588 36784 55176 110352 128389 256778 385167 513556 770334 1027112 1412279 1540668 2054224 2439391 2824558 3081336 4236837 4878782 5649116 6162672 7318173 8473674 9757564 11298232 14636346 15535069 16947348 19515128 22596464 26833301 29272692 31070138 33894696 39030256 46605207 53666602 58545384 62140276 67789392 80499903 93210414 107333204 117090768 124280552 160999806 186420828 214666408 248561104 295166311 321999612 372841656 429332816 590332622 643999224 745683312 885498933 1180665244 1287998448 1770997866 2361330488 3541995732 4722660976 7083991464 14167982928