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5006490426 = 232734611759
BaseRepresentation
bin1001010100110100…
…01111101100111010
3110220220121001202100
410222122033230322
540223130143201
62144442244230
7235031316000
oct45232175472
913826531670
105006490426
11213a0403a3
12b787b6676
1361a2c1b92
14356cb0a70
151e47d9886
hex12a68fb3a

5006490426 has 96 divisors (see below), whose sum is σ = 12684672000. Its totient is φ = 1426511520.

The previous prime is 5006490413. The next prime is 5006490451. The reversal of 5006490426 is 6240946005.

5006490426 is a `hidden beast` number, since 5 + 0 + 0 + 649 + 0 + 4 + 2 + 6 = 666.

It is a super-2 number, since 2×50064904262 = 50129892771259322952, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2845335 + ... + 2847093.

It is an arithmetic number, because the mean of its divisors is an integer number (132132000).

Almost surely, 25006490426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5006490426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6342336000).

5006490426 is an abundant number, since it is smaller than the sum of its proper divisors (7678181574).

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

5006490426 is a wasteful number, since it uses less digits than its factorization.

5006490426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2249 (or 2232 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The square root of 5006490426 is about 70756.5574770282. The cubic root of 5006490426 is about 1710.7155249133.

The spelling of 5006490426 in words is "five billion, six million, four hundred ninety thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 461 686 882 922 1029 1383 1759 2058 2766 3087 3227 3518 4149 5277 6174 6454 8298 9681 10554 12313 15831 19362 22589 24626 29043 31662 36939 45178 58086 67767 73878 86191 110817 135534 158123 172382 203301 221634 258573 316246 406602 474369 517146 603337 775719 810899 948738 1206674 1423107 1551438 1621798 1810011 2432697 2846214 3620022 4865394 5430033 5676293 7298091 10860066 11352586 14596182 17028879 34057758 39734051 51086637 79468102 102173274 119202153 238404306 278138357 357606459 556276714 715212918 834415071 1668830142 2503245213 5006490426