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426002930721 = 3447215432
BaseRepresentation
bin1100011001011111100…
…00001101110000100001
31111201120212200010010000
412030233300031300201
523434423222240341
6523411505130213
742530515110444
oct6145760156041
91451525603100
10426002930721
11154737604095
126a68b629969
1331230899994
141689381b65b
15b13467a8b6
hex632fc0dc21

426002930721 has 45 divisors (see below), whose sum is σ = 650624381121. Its totient is φ = 277779216888.

The previous prime is 426002930693. The next prime is 426002930753. The reversal of 426002930721 is 127039200624.

The square root of 426002930721 is 652689.

It is a perfect power (a square), and thus also a powerful number.

426002930721 is a `hidden beast` number, since 4 + 2 + 600 + 29 + 3 + 0 + 7 + 21 = 666.

It is not a de Polignac number, because 426002930721 - 27 = 426002930593 is a prime.

It is a super-2 number, since 2×4260029307212 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (426002930021) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 276086676 + ... + 276088218.

Almost surely, 2426002930721 is an apocalyptic number.

426002930721 is the 652689-th square number.

426002930721 is the 326345-th centered octagonal number.

It is an amenable number.

426002930721 is a deficient number, since it is larger than the sum of its proper divisors (224621450400).

426002930721 is an frugal number, since it uses more digits than its factorization.

426002930721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3192 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

Multiplying 426002930721 by its sum of digits (36), we get a square (15336105505956 = 39161342).

The spelling of 426002930721 in words is "four hundred twenty-six billion, two million, nine hundred thirty thousand, seven hundred twenty-one".

Divisors: 1 3 9 27 47 81 141 423 1269 1543 2209 3807 4629 6627 13887 19881 41661 59643 72521 124983 178929 217563 652689 1958067 2380849 3408487 5874201 7142547 10225461 21427641 30676383 64282923 92029149 111899903 192848769 276087447 335699709 1007099127 3021297381 5259295441 9063892143 15777886323 47333658969 142000976907 426002930721