Search a number
-
+
21557319696 = 2433118395407
BaseRepresentation
bin10100000100111010…
…101001100000010000
32001122100220022021000
4110010322221200100
5323122133212241
613523040102000
71362132123363
oct240472514020
961570808230
1021557319696
1191625aa3a0
124217604900
132057218b93
14108706a0da
15862838eb6
hex504ea9810

21557319696 has 160 divisors (see below), whose sum is σ = 67595673600. Its totient is φ = 6523528320.

The previous prime is 21557319631. The next prime is 21557319703. The reversal of 21557319696 is 69691375512.

21557319696 is a `hidden beast` number, since 2 + 1 + 5 + 573 + 1 + 9 + 69 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3984225 + ... + 3989631.

It is an arithmetic number, because the mean of its divisors is an integer number (422472960).

Almost surely, 221557319696 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21557319696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33797836800).

21557319696 is an abundant number, since it is smaller than the sum of its proper divisors (46038353904).

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

21557319696 is a wasteful number, since it uses less digits than its factorization.

21557319696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6274 (or 6262 counting only the distinct ones).

The product of its digits is 3061800, while the sum is 54.

The spelling of 21557319696 in words is "twenty-one billion, five hundred fifty-seven million, three hundred nineteen thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 88 99 108 132 144 176 198 216 264 297 396 432 528 594 792 839 1188 1584 1678 2376 2517 3356 4752 5034 5407 6712 7551 9229 10068 10814 13424 15102 16221 18458 20136 21628 22653 27687 30204 32442 36916 40272 43256 45306 48663 55374 59477 60408 64884 73832 83061 86512 90612 97326 110748 118954 120816 129768 145989 147664 166122 178431 181224 194652 221496 237908 249183 259536 291978 332244 356862 362448 389304 442992 475816 498366 535293 583956 664488 713724 778608 951632 996732 1070586 1167912 1328976 1427448 1605879 1993464 2141172 2335824 2854896 3211758 3986928 4282344 4536473 6423516 8564688 9072946 12847032 13609419 18145892 25694064 27218838 36291784 40828257 49901203 54437676 72583568 81656514 99802406 108875352 122484771 149703609 163313028 199604812 217750704 244969542 299407218 326626056 399209624 449110827 489939084 598814436 653252112 798419248 898221654 979878168 1197628872 1347332481 1796443308 1959756336 2395257744 2694664962 3592886616 5389329924 7185773232 10778659848 21557319696