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16455464144 = 2473141115597
BaseRepresentation
bin11110101001101001…
…00111010011010000
31120110210212012010222
433110310213103100
5232200044323034
611320505412212
71121532065060
oct172464472320
946423765128
1016455464144
116a84753849
123232a9a068
131723247042
14b216533a0
156649b312e
hex3d4d274d0

16455464144 has 80 divisors (see below), whose sum is σ = 38530200576. Its totient is φ = 6658329600.

The previous prime is 16455464131. The next prime is 16455464167. The reversal of 16455464144 is 44146455461.

16455464144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 16455464095 and 16455464104.

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 15 ways as a sum of consecutive naturals, for example, 84554 + ... + 200150.

Almost surely, 216455464144 is an apocalyptic number.

16455464144 is a gapful number since it is divisible by the number (14) 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 16455464144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19265100288).

16455464144 is an abundant number, since it is smaller than the sum of its proper divisors (22074736432).

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

16455464144 is a wasteful number, since it uses less digits than its factorization.

16455464144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115684 (or 115678 counting only the distinct ones).

The product of its digits is 921600, while the sum is 44.

The spelling of 16455464144 in words is "sixteen billion, four hundred fifty-five million, four hundred sixty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 31 41 56 62 82 112 124 164 217 248 287 328 434 496 574 656 868 1148 1271 1736 2296 2542 3472 4592 5084 8897 10168 17794 20336 35588 71176 115597 142352 231194 462388 809179 924776 1618358 1849552 3236716 3583507 4739477 6473432 7167014 9478954 12946864 14334028 18957908 25084549 28668056 33176339 37915816 50169098 57336112 66352678 75831632 100338196 132705356 146923787 200676392 265410712 293847574 401352784 530821424 587695148 1028466509 1175390296 2056933018 2350780592 4113866036 8227732072 16455464144