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5010739056 = 243410337537
BaseRepresentation
bin1001010101010100…
…11100111101110000
3110221012120220210000
410222222130331300
540230222122211
62145113310000
7235112402451
oct45252347560
913835526700
105010739056
112141482464
12b7a105300
1361b14b96b
14357699128
151e4d78656
hex12aa9cf70

5010739056 has 100 divisors (see below), whose sum is σ = 14643723952. Its totient is φ = 1653986304.

The previous prime is 5010739051. The next prime is 5010739057. The reversal of 5010739056 is 6509370105.

It is a happy number.

It is a super-2 number, since 2×50107390562 = 50215011774647542272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5010739056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5010739051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 114720 + ... + 152256.

Almost surely, 25010739056 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 5010739056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321861976).

5010739056 is an abundant number, since it is smaller than the sum of its proper divisors (9632984896).

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

5010739056 is a wasteful number, since it uses less digits than its factorization.

5010739056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37660 (or 37645 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5010739056 is about 70786.5739812290. The cubic root of 5010739056 is about 1711.1993064090.

The spelling of 5010739056 in words is "five billion, ten million, seven hundred thirty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 103 108 144 162 206 216 309 324 412 432 618 648 824 927 1236 1296 1648 1854 2472 2781 3708 4944 5562 7416 8343 11124 14832 16686 22248 33372 37537 44496 66744 75074 112611 133488 150148 225222 300296 337833 450444 600592 675666 900888 1013499 1351332 1801776 2026998 2702664 3040497 3866311 4053996 5405328 6080994 7732622 8107992 11598933 12161988 15465244 16215984 23197866 24323976 30930488 34796799 46395732 48647952 61860976 69593598 92791464 104390397 139187196 185582928 208780794 278374392 313171191 417561588 556748784 626342382 835123176 1252684764 1670246352 2505369528 5010739056