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21090762331024 = 24769214932
BaseRepresentation
bin1001100101110100100110…
…11001011001001110010000
32202200020221111020001211111
410302322103121121032100
510231022340124043044
6112504543520223104
74304520515611621
oct462722331311620
982606844201744
1021090762331024
1167a15a6556661
12244764576aa94
13b9cb092c5b99
1452cb26923a48
1526894485eb34
hex132e93659390

21090762331024 has 45 divisors (see below), whose sum is σ = 40943983371123. Its totient is φ = 10524614025216.

The previous prime is 21090762330973. The next prime is 21090762331027. The reversal of 21090762331024 is 42013326709012.

The square root of 21090762331024 is 4592468.

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 1980155552400 + 19110606778624 = 1407180^2 + 4371568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21090762331027) 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, 14126430822 + ... + 14126432314.

Almost surely, 221090762331024 is an apocalyptic number.

21090762331024 is the 4592468-th square number.

It is an amenable number.

21090762331024 is a deficient number, since it is larger than the sum of its proper divisors (19853221040099).

21090762331024 is an frugal number, since it uses more digits than its factorization.

21090762331024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4532 (or 2264 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 21090762331024 in words is "twenty-one trillion, ninety billion, seven hundred sixty-two million, three hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 769 1493 1538 2986 3076 5972 6152 11944 12304 23888 591361 1148117 1182722 2229049 2296234 2365444 4458098 4592468 4730888 8916196 9184936 9461776 17832392 18369872 35664784 882901973 1714138681 1765803946 3428277362 3531607892 6856554724 7063215784 13713109448 14126431568 27426218896 1318172645689 2636345291378 5272690582756 10545381165512 21090762331024