Search a number
-
+
21305181184 = 210721724977
BaseRepresentation
bin10011110101111000…
…110100010000000000
32000222210110100020121
4103311320310100000
5322113111244214
613442031550024
71352651023600
oct236570642000
960883410217
1021305181184
119043245a61
12416708b314
132016c07cb1
141061794c00
1584a631424
hex4f5e34400

21305181184 has 132 divisors (see below), whose sum is σ = 52459345116. Its totient is φ = 8593342464.

The previous prime is 21305181077. The next prime is 21305181211. The reversal of 21305181184 is 48118150312.

It can be written as a sum of positive squares in 2 ways, for example, as 6943555584 + 14361625600 = 83328^2 + 119840^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 840504 + ... + 865480.

Almost surely, 221305181184 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 21305181184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26229672558).

21305181184 is an abundant number, since it is smaller than the sum of its proper divisors (31154163932).

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

21305181184 is a wasteful number, since it uses less digits than its factorization.

21305181184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25028 (or 25003 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The spelling of 21305181184 in words is "twenty-one billion, three hundred five million, one hundred eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 49 56 64 68 98 112 119 128 136 196 224 238 256 272 392 448 476 512 544 784 833 896 952 1024 1088 1568 1666 1792 1904 2176 3136 3332 3584 3808 4352 6272 6664 7168 7616 8704 12544 13328 15232 17408 24977 25088 26656 30464 49954 50176 53312 60928 99908 106624 121856 174839 199816 213248 349678 399632 424609 426496 699356 799264 849218 852992 1223873 1398712 1598528 1698436 2447746 2797424 2972263 3197056 3396872 4895492 5594848 5944526 6394112 6793744 9790984 11189696 11889052 12788224 13587488 19581968 20805841 22379392 23778104 25576448 27174976 39163936 41611682 44758784 47556208 54349952 78327872 83223364 89517568 95112416 108699904 156655744 166446728 179035136 190224832 217399808 313311488 332893456 380449664 434799616 626622976 665786912 760899328 1253245952 1331573824 1521798656 2663147648 3043597312 5326295296 10652590592 21305181184