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16338445648 = 247199779153
BaseRepresentation
bin11110011011101100…
…01110010101010000
31120011122200000221121
433031312032111100
5231430120230043
611301125332024
71115611332220
oct171566162520
946148600847
1016338445648
116a24699048
1231bb867014
131704c25225
14b0dcb2080
1565959aded
hex3cdd8e550

16338445648 has 80 divisors (see below), whose sum is σ = 38475176320. Its totient is φ = 6565183488.

The previous prime is 16338445601. The next prime is 16338445661. The reversal of 16338445648 is 84654483361.

It is a junction number, because it is equal to n+sod(n) for n = 16338445595 and 16338445604.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 166840 + ... + 245992.

It is an arithmetic number, because the mean of its divisors is an integer number (480939704).

Almost surely, 216338445648 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 16338445648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19237588160).

16338445648 is an abundant number, since it is smaller than the sum of its proper divisors (22136730672).

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

16338445648 is a wasteful number, since it uses less digits than its factorization.

16338445648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79284 (or 79278 counting only the distinct ones).

The product of its digits is 6635520, while the sum is 52.

The spelling of 16338445648 in words is "sixteen billion, three hundred thirty-eight million, four hundred forty-five thousand, six hundred forty-eight".

Divisors: 1 2 4 7 8 14 16 19 28 38 56 76 97 112 133 152 194 266 304 388 532 679 776 1064 1358 1552 1843 2128 2716 3686 5432 7372 10864 12901 14744 25802 29488 51604 79153 103208 158306 206416 316612 554071 633224 1108142 1266448 1503907 2216284 3007814 4432568 6015628 7677841 8865136 10527349 12031256 15355682 21054698 24062512 30711364 42109396 53744887 61422728 84218792 107489774 122845456 145878979 168437584 214979548 291757958 429959096 583515916 859918192 1021152853 1167031832 2042305706 2334063664 4084611412 8169222824 16338445648