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12515344384 = 216192232
BaseRepresentation
bin10111010011111100…
…10000000000000000
31012022012211100221111
423221332100000000
5201112412010014
65425515133104
7622066446334
oct135176200000
935265740844
1012515344384
115342649524
122513444194
131245b5cc2a
1486a2497c4
154d3b1a2c4
hex2e9f90000

12515344384 has 153 divisors (see below), whose sum is σ = 27615742203. Its totient is φ = 5670567936.

The previous prime is 12515344339. The next prime is 12515344417. The reversal of 12515344384 is 48344351521.

The square root of 12515344384 is 111872.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 544145397 + ... + 544145419.

Almost surely, 212515344384 is an apocalyptic number.

12515344384 is the 111872-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12515344384

12515344384 is an abundant number, since it is smaller than the sum of its proper divisors (15100397819).

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

12515344384 is an frugal number, since it uses more digits than its factorization.

12515344384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 44 counting only the distinct ones).

The product of its digits is 230400, while the sum is 40.

The spelling of 12515344384 in words is "twelve billion, five hundred fifteen million, three hundred forty-four thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 32 38 46 64 76 92 128 152 184 256 304 361 368 437 512 529 608 722 736 874 1024 1058 1216 1444 1472 1748 2048 2116 2432 2888 2944 3496 4096 4232 4864 5776 5888 6992 8192 8303 8464 9728 10051 11552 11776 13984 16384 16606 16928 19456 20102 23104 23552 27968 32768 33212 33856 38912 40204 46208 47104 55936 65536 66424 67712 77824 80408 92416 94208 111872 132848 135424 155648 160816 184832 188416 190969 223744 265696 270848 311296 321632 369664 376832 381938 447488 531392 541696 622592 643264 739328 753664 763876 894976 1062784 1083392 1245184 1286528 1478656 1507328 1527752 1789952 2125568 2166784 2573056 2957312 3055504 3579904 4251136 4333568 5146112 5914624 6111008 7159808 8502272 8667136 10292224 11829248 12222016 14319616 17004544 17334272 20584448 23658496 24444032 28639232 34009088 34668544 41168896 48888064 68018176 82337792 97776128 136036352 164675584 195552256 272072704 329351168 391104512 544145408 658702336 782209024 1564418048 3128836096 6257672192 12515344384