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6249009426 = 2311223596343
BaseRepresentation
bin1011101000111100…
…00101000100010010
3121010111121120101120
411310132011010102
5100244221300201
62512025543110
7310566463242
oct56436050422
917114546346
106249009426
112717448300
121264944a96
1378785261a
14433d0bb22
15268923536
hex174785112

6249009426 has 96 divisors (see below), whose sum is σ = 14580034560. Its totient is φ = 1780326240.

The previous prime is 6249009401. The next prime is 6249009451.

6249009426 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (6249009401) and next prime (6249009451).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

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, 982011 + ... + 988353.

It is an arithmetic number, because the mean of its divisors is an integer number (151875360).

Almost surely, 26249009426 is an apocalyptic number.

6249009426 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 6249009426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7290017280).

6249009426 is an abundant number, since it is smaller than the sum of its proper divisors (8331025134).

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

6249009426 is a wasteful number, since it uses less digits than its factorization.

6249009426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6452 (or 6441 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 42.

The square root of 6249009426 is about 79050.6763158925. The cubic root of 6249009426 is about 1841.9184293567.

The spelling of 6249009426 in words is "six billion, two hundred forty-nine million, nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 23 33 46 59 66 69 118 121 138 177 242 253 354 363 506 649 726 759 1298 1357 1518 1947 2714 2783 3894 4071 5566 6343 7139 8142 8349 12686 14278 14927 16698 19029 21417 29854 38058 42834 44781 69773 89562 139546 145889 164197 209319 291778 328394 374237 418638 437667 492591 748474 767503 875334 985182 1122711 1535006 1604779 2245422 2302509 3209558 4116607 4605018 4814337 8233214 8607451 9628674 12349821 17214902 17652569 24699642 25822353 35305138 45282677 51644706 52957707 90565354 94681961 105915414 135848031 189363922 271696062 284045883 568091766 1041501571 2083003142 3124504713 6249009426