Search a number
-
+
21073645728 = 253282698849
BaseRepresentation
bin10011101000000101…
…100101000010100000
32000101122210010022100
4103220011211002200
5321124323130403
613403041210400
71344140014242
oct235005450240
960348703270
1021073645728
118a34583a43
124101630a00
131caac5bb75
14103cb24092
158351482a3
hex4e81650a0

21073645728 has 72 divisors (see below), whose sum is σ = 59942200500. Its totient is φ = 7022905344.

The previous prime is 21073645699. The next prime is 21073645753. The reversal of 21073645728 is 82754637012.

21073645728 is a `hidden beast` number, since 2 + 1 + 0 + 73 + 6 + 4 + 572 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 20767115664 + 306530064 = 144108^2 + 17508^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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, 2377048 + ... + 2385896.

Almost surely, 221073645728 is an apocalyptic number.

It is an amenable number.

21073645728 is an abundant number, since it is smaller than the sum of its proper divisors (38868554772).

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

21073645728 is a wasteful number, since it uses less digits than its factorization.

21073645728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17134 (or 17123 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 21073645728 in words is "twenty-one billion, seventy-three million, six hundred forty-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 8269 8849 16538 17698 24807 26547 33076 35396 49614 53094 66152 70792 74421 79641 99228 106188 132304 141584 148842 159282 198456 212376 264608 283168 297684 318564 396912 424752 595368 637128 793824 849504 1190736 1274256 2381472 2548512 73172381 146344762 219517143 292689524 439034286 585379048 658551429 878068572 1170758096 1317102858 1756137144 2341516192 2634205716 3512274288 5268411432 7024548576 10536822864 21073645728