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10649436426 = 23219307101429
BaseRepresentation
bin10011110101100000…
…11000000100001010
31000111011210102102100
421322300120010022
5133302223431201
64520422214230
7524621500416
oct117260300412
930434712370
1010649436426
114575369232
122092584376
131009404a95
147304d7d46
15424de3886
hex27ac1810a

10649436426 has 48 divisors (see below), whose sum is σ = 24367543200. Its totient is φ = 3351992544.

The previous prime is 10649436349. The next prime is 10649436431. The reversal of 10649436426 is 62463494601.

10649436426 is a `hidden beast` number, since 106 + 4 + 94 + 36 + 426 = 666.

It is a super-2 number, since 2×106494364262 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54280 + ... + 155708.

It is an arithmetic number, because the mean of its divisors is an integer number (507657150).

Almost surely, 210649436426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10649436426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12183771600).

10649436426 is an abundant number, since it is smaller than the sum of its proper divisors (13718106774).

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

10649436426 is a wasteful number, since it uses less digits than its factorization.

10649436426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101763 (or 101760 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 10649436426 in words is "ten billion, six hundred forty-nine million, four hundred thirty-six thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 307 342 614 921 1842 2763 5526 5833 11666 17499 34998 52497 101429 104994 202858 304287 608574 912861 1825722 1927151 3854302 5781453 11562906 17344359 31138703 34688718 62277406 93416109 186832218 280248327 560496654 591635357 1183270714 1774906071 3549812142 5324718213 10649436426