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425251245006 = 2327171927138557
BaseRepresentation
bin1100011000000101111…
…00110000101111001110
31111122122111020112011100
412030002330300233032
523431403304320011
6523205134003530
742503056641060
oct6140274605716
91448574215140
10425251245006
11154391272525
126a4bb9465a6
1331140c31b33
1416821a6b730
15b0dd698d56
hex6302f30bce

425251245006 has 192 divisors, whose sum is σ = 1177987000320. Its totient is φ = 107932124160.

The previous prime is 425251244993. The next prime is 425251245017. The reversal of 425251245006 is 600542152524.

425251245006 is a `hidden beast` number, since 4 + 2 + 5 + 25 + 124 + 500 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 11009880 + ... + 11048436.

It is an arithmetic number, because the mean of its divisors is an integer number (6135348960).

Almost surely, 2425251245006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 425251245006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (588993500160).

425251245006 is an abundant number, since it is smaller than the sum of its proper divisors (752735755314).

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

425251245006 is a wasteful number, since it uses less digits than its factorization.

425251245006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38879 (or 38876 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

The spelling of 425251245006 in words is "four hundred twenty-five billion, two hundred fifty-one million, two hundred forty-five thousand, six".