Search a number
-
+
5013635346 = 233378233049
BaseRepresentation
bin1001010101101011…
…00000000100010010
3110221102001001202000
410222311200010102
540231442312341
62145255334430
7235146124446
oct45265400422
913842031660
105013635346
112143080495
12b7b081416
1361b924045
14357c10826
151e524b8b6
hex12ad60112

5013635346 has 64 divisors (see below), whose sum is σ = 11460192000. Its totient is φ = 1623535488.

The previous prime is 5013635339. The next prime is 5013635351. The reversal of 5013635346 is 6435363105.

5013635346 is a `hidden beast` number, since 5 + 0 + 13 + 635 + 3 + 4 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5013635346.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1642830 + ... + 1645878.

It is an arithmetic number, because the mean of its divisors is an integer number (179065500).

Almost surely, 25013635346 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5013635346, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5730096000).

5013635346 is an abundant number, since it is smaller than the sum of its proper divisors (6446556654).

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

5013635346 is a wasteful number, since it uses less digits than its factorization.

5013635346 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3920 (or 3914 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 36.

The square root of 5013635346 is about 70807.0289307495. The cubic root of 5013635346 is about 1711.5289434002.

The spelling of 5013635346 in words is "five billion, thirteen million, six hundred thirty-five thousand, three hundred forty-six".

Divisors: 1 2 3 6 9 18 27 37 54 74 111 222 333 666 823 999 1646 1998 2469 3049 4938 6098 7407 9147 14814 18294 22221 27441 30451 44442 54882 60902 82323 91353 112813 164646 182706 225626 274059 338439 548118 676878 822177 1015317 1644354 2030634 2509327 3045951 5018654 6091902 7527981 15055962 22583943 45167886 67751829 92845099 135503658 185690198 278535297 557070594 835605891 1671211782 2506817673 5013635346