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21808293241 = 724497691289
BaseRepresentation
bin10100010011111000…
…000010010101111001
32002021212011002020111
4110103320002111321
5324130410340431
614004003224321
71401300301600
oct242370022571
962255132214
1021808293241
119281238549
1242876780a1
13209720c737
1410ac51aa37
158798b17b1
hex513e02579

21808293241 has 24 divisors (see below), whose sum is σ = 25478145000. Its totient is φ = 18612486144.

The previous prime is 21808293211. The next prime is 21808293257. The reversal of 21808293241 is 14239280812.

It can be written as a sum of positive squares in 4 ways, for example, as 6190542400 + 15617750841 = 78680^2 + 124971^2 .

It is not a de Polignac number, because 21808293241 - 215 = 21808260473 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21808293194 and 21808293203.

It is not an unprimeable number, because it can be changed into a prime (21808293211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16918125 + ... + 16919413.

It is an arithmetic number, because the mean of its divisors is an integer number (1061589375).

Almost surely, 221808293241 is an apocalyptic number.

It is an amenable number.

21808293241 is a deficient number, since it is larger than the sum of its proper divisors (3669851759).

21808293241 is a wasteful number, since it uses less digits than its factorization.

21808293241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2521 (or 2514 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The spelling of 21808293241 in words is "twenty-one billion, eight hundred eight million, two hundred ninety-three thousand, two hundred forty-one".

Divisors: 1 7 49 449 769 1289 3143 5383 9023 22001 37681 63161 345281 578761 991241 2416967 4051327 6938687 16918769 28359289 48570809 445067209 3115470463 21808293241