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21785169604 = 2211267092
BaseRepresentation
bin10100010010011111…
…110100111011000100
32002020020122021120111
4110102133310323010
5324104000411404
614001415442404
71400566613002
oct242237647304
962206567514
1021785169604
11926a184400
12427b986404
1320924a4603
1410a941ba72
15877845104
hex5127f4ec4

21785169604 has 27 divisors (see below), whose sum is σ = 41911191021. Its totient is φ = 9900873840.

The previous prime is 21785169599. The next prime is 21785169607. The reversal of 21785169604 is 40696158712.

It is a happy number.

The square root of 21785169604 is 147598.

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

It can be written as a sum of positive squares in only one way, i.e., 14423529604 + 7361640000 = 120098^2 + 85800^2 .

It is a super-2 number, since 2×217851696042 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21785169607) 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, 3243802 + ... + 3250510.

Almost surely, 221785169604 is an apocalyptic number.

21785169604 is the 147598-th square number.

It is an amenable number.

21785169604 is a deficient number, since it is larger than the sum of its proper divisors (20126021417).

21785169604 is an frugal number, since it uses more digits than its factorization.

21785169604 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13444 (or 6722 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 21785169604 by its sum of digits (49), we get a square (1067473310596 = 10331862).

The spelling of 21785169604 in words is "twenty-one billion, seven hundred eighty-five million, one hundred sixty-nine thousand, six hundred four".

Divisors: 1 2 4 11 22 44 121 242 484 6709 13418 26836 73799 147598 295196 811789 1623578 3247156 45010681 90021362 180042724 495117491 990234982 1980469964 5446292401 10892584802 21785169604