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21638098945 = 5379710211181
BaseRepresentation
bin10100001001101110…
…110011000000000001
32001211222220022120001
4110021232303000001
5323303323131240
613535043320001
71364132543401
oct241156630001
961758808501
1021638098945
1191a4163001
12423a680001
13206ab8cb58
141093a96801
1586999389a
hex509bb3001

21638098945 has 32 divisors (see below), whose sum is σ = 26991641376. Its totient is φ = 16638566400.

The previous prime is 21638098943. The next prime is 21638098957. The reversal of 21638098945 is 54989083612.

It can be written as a sum of positive squares in 16 ways, for example, as 14984641 + 21623114304 = 3871^2 + 147048^2 .

It is not a de Polignac number, because 21638098945 - 21 = 21638098943 is a prime.

It is a super-2 number, since 2×216380989452 (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 (21638098943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18321255 + ... + 18322435.

It is an arithmetic number, because the mean of its divisors is an integer number (843488793).

Almost surely, 221638098945 is an apocalyptic number.

It is an amenable number.

21638098945 is a deficient number, since it is larger than the sum of its proper divisors (5353542431).

21638098945 is a wasteful number, since it uses less digits than its factorization.

21638098945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2341.

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 21638098945 in words is "twenty-one billion, six hundred thirty-eight million, ninety-eight thousand, nine hundred forty-five".

Divisors: 1 5 37 97 185 485 1021 1181 3589 5105 5905 17945 37777 43697 99037 114557 188885 218485 495185 572785 1205801 3664369 4238609 6029005 18321845 21193045 44614637 116962697 223073185 584813485 4327619789 21638098945