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5259259008 = 27327516079
BaseRepresentation
bin1001110010111100…
…11110110010000000
3111120112020001001200
410321132132302000
541232332242013
62225512101200
7244220651433
oct47136366200
914515201050
105259259008
112259795153
121029394800
1365a7937a3
1437c6ab81a
1520bab8e73
hex13979ec80

5259259008 has 96 divisors (see below), whose sum is σ = 15156710400. Its totient is φ = 1750464000.

The previous prime is 5259259003. The next prime is 5259259013. The reversal of 5259259008 is 8009529525.

5259259008 is a `hidden beast` number, since 5 + 2 + 59 + 2 + 590 + 0 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5259259003) and next prime (5259259013).

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (5259259003) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 862113 + ... + 868191.

It is an arithmetic number, because the mean of its divisors is an integer number (157882400).

Almost surely, 25259259008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5259259008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7578355200).

5259259008 is an abundant number, since it is smaller than the sum of its proper divisors (9897451392).

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

5259259008 is a wasteful number, since it uses less digits than its factorization.

5259259008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 6835 counting only the distinct ones).

The product of its (nonzero) digits is 324000, while the sum is 45.

The square root of 5259259008 is about 72520.7488102543. The cubic root of 5259259008 is about 1739.0344543981.

The spelling of 5259259008 in words is "five billion, two hundred fifty-nine million, two hundred fifty-nine thousand, eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 751 1152 1502 2253 3004 4506 6008 6079 6759 9012 12016 12158 13518 18024 18237 24032 24316 27036 36048 36474 48064 48632 54072 54711 72096 72948 96128 97264 108144 109422 144192 145896 194528 216288 218844 288384 291792 389056 432576 437688 583584 778112 865152 875376 1167168 1750752 2334336 3501504 4565329 7003008 9130658 13695987 18261316 27391974 36522632 41087961 54783948 73045264 82175922 109567896 146090528 164351844 219135792 292181056 328703688 438271584 584362112 657407376 876543168 1314814752 1753086336 2629629504 5259259008