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21115577344 = 2101922392
BaseRepresentation
bin10011101010100101…
…100010010000000000
32000111120200110200011
4103222211202100000
5321221041433334
613411140034304
71345156305661
oct235245422000
960446613604
1021115577344
118a56213874
124113692994
131cb6850984
14104451b368
15838b7c564
hex4ea962400

21115577344 has 99 divisors (see below), whose sum is σ = 44736245427. Its totient is φ = 9960265728.

The previous prime is 21115577339. The next prime is 21115577347. The reversal of 21115577344 is 44377551112.

The square root of 21115577344 is 145312.

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

It is a junction number, because it is equal to n+sod(n) for n = 21115577297 and 21115577306.

It is not an unprimeable number, because it can be changed into a prime (21115577347) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 88349577 + ... + 88349815.

Almost surely, 221115577344 is an apocalyptic number.

21115577344 is the 145312-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21115577344

21115577344 is an abundant number, since it is smaller than the sum of its proper divisors (23620668083).

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

21115577344 is an frugal number, since it uses more digits than its factorization.

21115577344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 260 counting only the distinct ones).

The product of its digits is 117600, while the sum is 40.

The spelling of 21115577344 in words is "twenty-one billion, one hundred fifteen million, five hundred seventy-seven thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 32 38 64 76 128 152 239 256 304 361 478 512 608 722 956 1024 1216 1444 1912 2432 2888 3824 4541 4864 5776 7648 9082 9728 11552 15296 18164 19456 23104 30592 36328 46208 57121 61184 72656 86279 92416 114242 122368 145312 172558 184832 228484 244736 290624 345116 369664 456968 581248 690232 913936 1085299 1162496 1380464 1827872 2170598 2324992 2760928 3655744 4341196 4649984 5521856 7311488 8682392 11043712 14622976 17364784 20620681 22087424 29245952 34729568 41241362 44174848 58491904 69459136 82482724 88349696 138918272 164965448 277836544 329930896 555673088 659861792 1111346176 1319723584 2639447168 5278894336 10557788672 21115577344