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15399817216 = 212722772
BaseRepresentation
bin11100101011110011…
…01001000000000000
31110202020110202210121
432111321221000000
5223014323122331
611024035310024
71053423200200
oct162571510000
943666422717
1015399817216
116592882673
122b9944b314
1315b56253a4
14a6137c400
15601e8dc11
hex395e69000

15399817216 has 117 divisors (see below), whose sum is σ = 35953567209. Its totient is φ = 6576095232.

The previous prime is 15399817211. The next prime is 15399817231. The reversal of 15399817216 is 61271899351.

The square root of 15399817216 is 124096.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 2654310400 + 12745506816 = 51520^2 + 112896^2 .

It is not an unprimeable number, because it can be changed into a prime (15399817211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 55594870 + ... + 55595146.

Almost surely, 215399817216 is an apocalyptic number.

15399817216 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

15399817216 is the 124096-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15399817216

15399817216 is an abundant number, since it is smaller than the sum of its proper divisors (20553749993).

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

15399817216 is an frugal number, since it uses more digits than its factorization.

15399817216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 286 counting only the distinct ones).

The product of its digits is 816480, while the sum is 52.

The spelling of 15399817216 in words is "fifteen billion, three hundred ninety-nine million, eight hundred seventeen thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 277 392 448 512 554 784 896 1024 1108 1568 1792 1939 2048 2216 3136 3584 3878 4096 4432 6272 7168 7756 8864 12544 13573 14336 15512 17728 25088 27146 28672 31024 35456 50176 54292 62048 70912 76729 100352 108584 124096 141824 153458 200704 217168 248192 283648 306916 434336 496384 537103 567296 613832 868672 992768 1074206 1134592 1227664 1737344 1985536 2148412 2455328 3474688 3759721 3971072 4296824 4910656 6949376 7519442 7942144 8593648 9821312 13898752 15038884 17187296 19642624 27797504 30077768 34374592 39285248 55595008 60155536 68749184 78570496 120311072 137498368 157140992 240622144 274996736 314281984 481244288 549993472 962488576 1099986944 1924977152 2199973888 3849954304 7699908608 15399817216