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21698763025 = 5217217332
BaseRepresentation
bin10100001101010110…
…001101100100010001
32002000020001101000211
4110031112031210101
5323414340404100
613545051444121
71365500304532
oct241526154421
962006041024
1021698763025
119225427905
124256a56641
13207a610164
14109bb68689
1586ee781ba
hex50d58d911

21698763025 has 27 divisors (see below), whose sum is σ = 28598803891. Its totient is φ = 16328464640.

The previous prime is 21698763011. The next prime is 21698763041. The reversal of 21698763025 is 52036789612.

The square root of 21698763025 is 147305.

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

It can be written as a sum of positive squares in 13 ways, for example, as 8744681169 + 12954081856 = 93513^2 + 113816^2 .

It is not a de Polignac number, because 21698763025 - 215 = 21698730257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 21698763025.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 12520059 + ... + 12521791.

Almost surely, 221698763025 is an apocalyptic number.

21698763025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

21698763025 is the 147305-th square number.

21698763025 is the 73653-rd centered octagonal number.

It is an amenable number.

21698763025 is a deficient number, since it is larger than the sum of its proper divisors (6900040866).

21698763025 is an frugal number, since it uses more digits than its factorization.

21698763025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3510 (or 1755 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 49.

Multiplying 21698763025 by its sum of digits (49), we get a square (1063239388225 = 10311352).

The spelling of 21698763025 in words is "twenty-one billion, six hundred ninety-eight million, seven hundred sixty-three thousand, twenty-five".

Divisors: 1 5 17 25 85 289 425 1445 1733 7225 8665 29461 43325 147305 500837 736525 2504185 3003289 12520925 15016445 51055913 75082225 255279565 867950521 1276397825 4339752605 21698763025