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21930446464 = 2726322477
BaseRepresentation
bin10100011011001010…
…000000111010000000
32002121101000002221221
4110123022000322000
5324403143241324
614024045324424
71404312501463
oct243312007200
962541002857
1021930446464
119334190023
124300566714
1320b660b754
1410c08372da
158854900e4
hex51b280e80

21930446464 has 48 divisors (see below), whose sum is σ = 43874018370. Its totient is φ = 10919120384.

The previous prime is 21930446459. The next prime is 21930446509. The reversal of 21930446464 is 46464403912.

It can be written as a sum of positive squares in only one way, i.e., 18703297600 + 3227148864 = 136760^2 + 56808^2 .

It is a super-2 number, since 2×219304464642 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21930446464.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8852394 + ... + 8854870.

Almost surely, 221930446464 is an apocalyptic number.

It is an amenable number.

21930446464 is an abundant number, since it is smaller than the sum of its proper divisors (21943571906).

21930446464 is an frugal number, since it uses more digits than its factorization.

21930446464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3017 (or 2742 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 21930446464 in words is "twenty-one billion, nine hundred thirty million, four hundred forty-six thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 128 263 526 1052 2104 2477 4208 4954 8416 9908 16832 19816 33664 39632 69169 79264 138338 158528 276676 317056 553352 651451 1106704 1302902 2213408 2605804 4426816 5211608 8853632 10423216 20846432 41692864 83385728 171331613 342663226 685326452 1370652904 2741305808 5482611616 10965223232 21930446464