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15664390240 = 2551717932173
BaseRepresentation
bin11101001011010101…
…11010000001100000
31111102200022110202111
432211222322001200
5224040040441430
611110210125104
71063115056132
oct164552720140
944380273674
1015664390240
11670915a264
123051b80794
13162839ac85
14a8856d052
1561a300c2a
hex3a5aba060

15664390240 has 96 divisors (see below), whose sum is σ = 39404141280. Its totient is φ = 5864054784.

The previous prime is 15664390211. The next prime is 15664390289. The reversal of 15664390240 is 4209346651.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 15664390193 and 15664390202.

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, 470794 + ... + 502966.

It is an arithmetic number, because the mean of its divisors is an integer number (410459805).

Almost surely, 215664390240 is an apocalyptic number.

15664390240 is a gapful number since it is divisible by the number (10) 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 15664390240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19702070640).

15664390240 is an abundant number, since it is smaller than the sum of its proper divisors (23739751040).

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

15664390240 is a wasteful number, since it uses less digits than its factorization.

15664390240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32384 (or 32376 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 40.

The spelling of 15664390240 in words is "fifteen billion, six hundred sixty-four million, three hundred ninety thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 179 272 340 358 544 680 716 895 1360 1432 1790 2720 2864 3043 3580 5728 6086 7160 12172 14320 15215 24344 28640 30430 32173 48688 60860 64346 97376 121720 128692 160865 243440 257384 321730 486880 514768 546941 643460 1029536 1093882 1286920 2187764 2573840 2734705 4375528 5147680 5469410 5758967 8751056 10938820 11517934 17502112 21877640 23035868 28794835 43755280 46071736 57589670 87510560 92143472 97902439 115179340 184286944 195804878 230358680 391609756 460717360 489512195 783219512 921434720 979024390 1566439024 1958048780 3132878048 3916097560 7832195120 15664390240