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16205712999424 = 21013296772
BaseRepresentation
bin1110101111010010111111…
…0001000100010000000000
32010101020210000001221010021
43223310233301010100000
54111003300011440144
654244445103343224
73261552450452464
oct353645761042000
963336700057107
1016205712999424
1151888935626a3
1219989385b1b14
139072662a7300
14400509a604a4
151d1833b95884
hexebd2fc44400

16205712999424 has 99 divisors (see below), whose sum is σ = 35082884676207. Its totient is φ = 7478786924544.

The previous prime is 16205712999419. The next prime is 16205712999431. The reversal of 16205712999424 is 42499921750261.

The square root of 16205712999424 is 4025632.

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

It can be written as a sum of positive squares in 4 ways, for example, as 663195239424 + 15542517760000 = 814368^2 + 3942400^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1674658074 + ... + 1674667750.

Almost surely, 216205712999424 is an apocalyptic number.

16205712999424 is the 4025632-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16205712999424

16205712999424 is an abundant number, since it is smaller than the sum of its proper divisors (18877171676783).

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

16205712999424 is an frugal number, since it uses more digits than its factorization.

16205712999424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19400 (or 9692 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 61.

The spelling of 16205712999424 in words is "sixteen trillion, two hundred five billion, seven hundred twelve million, nine hundred ninety-nine thousand, four hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 256 338 416 512 676 832 1024 1352 1664 2704 3328 5408 6656 9677 10816 13312 19354 21632 38708 43264 77416 86528 125801 154832 173056 251602 309664 503204 619328 1006408 1238656 1635413 2012816 2477312 3270826 4025632 4954624 6541652 8051264 9909248 13083304 16102528 26166608 32205056 52333216 64410112 93644329 104666432 128820224 187288658 209332864 374577316 418665728 749154632 837331456 1217376277 1498309264 1674662912 2434752554 2996618528 4869505108 5993237056 9739010216 11986474112 15825891601 19478020432 23972948224 31651783202 38956040864 47945896448 63303566404 77912081728 95891792896 126607132808 155824163456 253214265616 311648326912 506428531232 623296653824 1012857062464 1246593307648 2025714124928 4051428249856 8102856499712 16205712999424