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16379005494168 = 2332974675021881
BaseRepresentation
bin1110111001011000100011…
…0011011110001110011000
32010222211002001110202221100
43232112020303132032120
54121323200401303133
654500224455111400
73310226011403622
oct356261063361630
963884061422840
1016379005494168
11524532a6688a9
121a0643b972560
1391a6c23b6525
14408a68abbc12
151d60c75aee13
hexee588cde398

16379005494168 has 96 divisors (see below), whose sum is σ = 44913101229360. Its totient is φ = 5391811768320.

The previous prime is 16379005494149. The next prime is 16379005494217. The reversal of 16379005494168 is 86149450097361.

16379005494168 is a `hidden beast` number, since 1 + 6 + 3 + 79 + 0 + 0 + 549 + 4 + 16 + 8 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 750588 + ... + 5772468.

Almost surely, 216379005494168 is an apocalyptic number.

16379005494168 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16379005494168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22456550614680).

16379005494168 is an abundant number, since it is smaller than the sum of its proper divisors (28534095735192).

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

16379005494168 is a wasteful number, since it uses less digits than its factorization.

16379005494168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022457 (or 5022450 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 16379005494168 in words is "sixteen trillion, three hundred seventy-nine billion, five million, four hundred ninety-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 97 194 291 388 467 582 776 873 934 1164 1401 1746 1868 2328 2802 3492 3736 4203 5604 6984 8406 11208 16812 33624 45299 90598 135897 181196 271794 362392 407691 543588 815382 1087176 1630764 3261528 5021881 10043762 15065643 20087524 30131286 40175048 45196929 60262572 90393858 120525144 180787716 361575432 487122457 974244914 1461367371 1948489828 2345218427 2922734742 3896979656 4384102113 4690436854 5845469484 7035655281 8768204226 9380873708 11690938968 14071310562 17536408452 18761747416 21106965843 28142621124 35072816904 42213931686 56285242248 84427863372 168855726744 227486187419 454972374838 682458562257 909944749676 1364917124514 1819889499352 2047375686771 2729834249028 4094751373542 5459668498056 8189502747084 16379005494168