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16451444412704 = 257432719762801
BaseRepresentation
bin1110111101100110011010…
…0000000001000100100000
32011020202001110002010002002
43233121212200001010200
54124020024232201304
654553404512343132
73315402062142140
oct357314640010440
964222043063062
1016451444412704
115273022534524
121a18497544aa8
13924497bc5032
1440c37b5a4920
151d7e16d8331e
hexef666801120

16451444412704 has 96 divisors (see below), whose sum is σ = 37878577140096. Its totient is φ = 6886288281600.

The previous prime is 16451444412673. The next prime is 16451444412713. The reversal of 16451444412704 is 40721444415461.

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 15 ways as a sum of consecutive naturals, for example, 261930104 + ... + 261992904.

It is an arithmetic number, because the mean of its divisors is an integer number (394568511876).

Almost surely, 216451444412704 is an apocalyptic number.

16451444412704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

16451444412704 is an abundant number, since it is smaller than the sum of its proper divisors (21427132727392).

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

16451444412704 is a wasteful number, since it uses less digits than its factorization.

16451444412704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90058 (or 90050 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 47.

The spelling of 16451444412704 in words is "sixteen trillion, four hundred fifty-one billion, four hundred forty-four million, four hundred twelve thousand, seven hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 43 56 86 112 172 224 301 344 602 688 1204 1376 2408 4816 9632 27197 54394 62801 108788 125602 190379 217576 251204 380758 435152 439607 502408 761516 870304 879214 1004816 1169471 1523032 1758428 2009632 2338942 2700443 3046064 3516856 4677884 5400886 6092128 7033712 8186297 9355768 10801772 14067424 16372594 18711536 18903101 21603544 32745188 37423072 37806202 43207088 65490376 75612404 86414176 130980752 151224808 261961504 302449616 604899232 1707998797 3415997594 6831995188 11955991579 13663990376 23911983158 27327980752 47823966316 54655961504 73443948271 95647932632 146887896542 191295865264 293775793084 382591730528 514107637897 587551586168 1028215275794 1175103172336 2056430551588 2350206344672 4112861103176 8225722206352 16451444412704