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14073518016 = 2635904933
BaseRepresentation
bin11010001101101100…
…01101011111000000
31100022210210210100000
431012312031133000
5212310310034031
610244300200000
71005516633525
oct150666153700
940283723300
1014073518016
115a72152428
122889239000
13143390ca6c
1497717314c
155758063e6
hex346d8d7c0

14073518016 has 84 divisors (see below), whose sum is σ = 41833288952. Its totient is φ = 4691167488.

The previous prime is 14073517999. The next prime is 14073518023. The reversal of 14073518016 is 61081537041.

14073518016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 11 ways as a sum of consecutive naturals, for example, 436915 + ... + 468018.

Almost surely, 214073518016 is an apocalyptic number.

14073518016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

14073518016 is an abundant number, since it is smaller than the sum of its proper divisors (27759770936).

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

14073518016 is an frugal number, since it uses more digits than its factorization.

14073518016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904960 (or 904938 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 14073518016 in words is "fourteen billion, seventy-three million, five hundred eighteen thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 144 162 192 216 243 288 324 432 486 576 648 864 972 1296 1728 1944 2592 3888 5184 7776 15552 904933 1809866 2714799 3619732 5429598 7239464 8144397 10859196 14478928 16288794 21718392 24433191 28957856 32577588 43436784 48866382 57915712 65155176 73299573 86873568 97732764 130310352 146599146 173747136 195465528 219898719 260620704 293198292 390931056 439797438 521241408 586396584 781862112 879594876 1172793168 1563724224 1759189752 2345586336 3518379504 4691172672 7036759008 14073518016