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21442636824 = 23371131129511
BaseRepresentation
bin10011111110000101…
…001010110000011000
32001100101002210221020
4103332011022300120
5322403303334244
613503422042440
71356240256110
oct237605126030
961311083836
1021442636824
11910389a464
1241a5119420
1320395341ab
141075b36040
15857733d19
hex4fe14ac18

21442636824 has 64 divisors (see below), whose sum is σ = 61806896640. Its totient is φ = 6072245760.

The previous prime is 21442636819. The next prime is 21442636829. The reversal of 21442636824 is 42863624412.

It is an interprime number because it is at equal distance from previous prime (21442636819) and next prime (21442636829).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21442636829) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 545772 + ... + 583739.

It is an arithmetic number, because the mean of its divisors is an integer number (965732760).

Almost surely, 221442636824 is an apocalyptic number.

21442636824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21442636824 is an abundant number, since it is smaller than the sum of its proper divisors (40364259816).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

21442636824 is a wasteful number, since it uses less digits than its factorization.

21442636824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129640 (or 1129636 counting only the distinct ones).

The product of its digits is 442368, while the sum is 42.

The spelling of 21442636824 in words is "twenty-one billion, four hundred forty-two million, six hundred thirty-six thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 113 168 226 339 452 678 791 904 1356 1582 2373 2712 3164 4746 6328 9492 18984 1129511 2259022 3388533 4518044 6777066 7906577 9036088 13554132 15813154 23719731 27108264 31626308 47439462 63252616 94878924 127634743 189757848 255269486 382904229 510538972 765808458 893443201 1021077944 1531616916 1786886402 2680329603 3063233832 3573772804 5360659206 7147545608 10721318412 21442636824