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21724507464 = 233113680081
BaseRepresentation
bin10100001110111000…
…011010110101001000
32002002000111022202120
4110032320122311020
5323442433214324
613551411331240
71366232160312
oct241670326510
962060438676
1021724507464
119238a11000
1242635b0b20
132082a5515a
1410a134a7b2
15872361179
hex50ee1ad48

21724507464 has 64 divisors (see below), whose sum is σ = 59738402880. Its totient is φ = 6583174400.

The previous prime is 21724507447. The next prime is 21724507477. The reversal of 21724507464 is 46470542712.

It is a super-2 number, since 2×217245074642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 308097 + ... + 371984.

It is an arithmetic number, because the mean of its divisors is an integer number (933412545).

Almost surely, 221724507464 is an apocalyptic number.

21724507464 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21724507464 is an abundant number, since it is smaller than the sum of its proper divisors (38013895416).

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

21724507464 is a wasteful number, since it uses less digits than its factorization.

21724507464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680123 (or 680097 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 42.

The spelling of 21724507464 in words is "twenty-one billion, seven hundred twenty-four million, five hundred seven thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 121 132 242 264 363 484 726 968 1331 1452 2662 2904 3993 5324 7986 10648 15972 31944 680081 1360162 2040243 2720324 4080486 5440648 7480891 8160972 14961782 16321944 22442673 29923564 44885346 59847128 82289801 89770692 164579602 179541384 246869403 329159204 493738806 658318408 905187811 987477612 1810375622 1974955224 2715563433 3620751244 5431126866 7241502488 10862253732 21724507464