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5285081856 = 283173671103
BaseRepresentation
bin1001110110000001…
…11111001100000000
3111122022210222100110
410323000333030000
541310440104411
62232233351320
7244653311625
oct47300771400
914568728313
105285081856
11227232224a
121035b68540
13662c35392
14381cb034c
1520deba2a6
hex13b03f300

5285081856 has 144 divisors (see below), whose sum is σ = 14947559424. Its totient is φ = 1652047872.

The previous prime is 5285081833. The next prime is 5285081891. The reversal of 5285081856 is 6581805825.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4791001 + ... + 4792103.

It is an arithmetic number, because the mean of its divisors is an integer number (103802496).

Almost surely, 25285081856 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 5285081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7473779712).

5285081856 is an abundant number, since it is smaller than the sum of its proper divisors (9662477568).

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

5285081856 is a wasteful number, since it uses less digits than its factorization.

5285081856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 768000, while the sum is 48.

The square root of 5285081856 is about 72698.5684590832. The cubic root of 5285081856 is about 1741.8760159799.

The spelling of 5285081856 in words is "five billion, two hundred eighty-five million, eighty-one thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 367 384 408 544 734 768 816 1088 1101 1103 1468 1632 2176 2202 2206 2936 3264 3309 4352 4404 4412 5872 6239 6528 6618 8808 8824 11744 12478 13056 13236 17616 17648 18717 18751 23488 24956 26472 35232 35296 37434 37502 46976 49912 52944 56253 70464 70592 74868 75004 93952 99824 105888 112506 140928 141184 149736 150008 199648 211776 225012 281856 282368 299472 300016 399296 404801 423552 450024 598944 600032 798592 809602 847104 900048 1197888 1200064 1214403 1597184 1619204 1800096 2395776 2400128 2428806 3238408 3600192 4791552 4800256 4857612 6476816 6881617 7200384 9715224 12953632 13763234 14400768 19430448 20644851 25907264 27526468 38860896 41289702 51814528 55052936 77721792 82579404 103629056 110105872 155443584 165158808 220211744 310887168 330317616 440423488 660635232 880846976 1321270464 1761693952 2642540928 5285081856