Search a number
-
+
5010415434 = 2332914932143
BaseRepresentation
bin1001010101010010…
…01101111101001010
3110221011222110212000
410222221031331022
540230131243214
62145102331430
7235106554113
oct45251157512
913834873760
105010415434
112141281302
12b79b89b76
1361b06757b
1435761320a
151e4d12809
hex12aa4df4a

5010415434 has 64 divisors (see below), whose sum is σ = 11531289600. Its totient is φ = 1610715456.

The previous prime is 5010415429. The next prime is 5010415453. The reversal of 5010415434 is 4345140105.

It is a happy number.

5010415434 is a `hidden beast` number, since 501 + 0 + 4 + 154 + 3 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5010415398 and 5010415407.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 2336967 + ... + 2339109.

It is an arithmetic number, because the mean of its divisors is an integer number (180176400).

Almost surely, 25010415434 is an apocalyptic number.

5010415434 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5010415434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5765644800).

5010415434 is an abundant number, since it is smaller than the sum of its proper divisors (6520874166).

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

5010415434 is a wasteful number, since it uses less digits than its factorization.

5010415434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3670 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 5010415434 is about 70784.2880447349. The cubic root of 5010415434 is about 1711.1624659577.

Adding to 5010415434 its reverse (4345140105), we get a palindrome (9355555539).

The spelling of 5010415434 in words is "five billion, ten million, four hundred fifteen thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 29 54 58 87 174 261 522 783 1493 1566 2143 2986 4286 4479 6429 8958 12858 13437 19287 26874 38574 40311 43297 57861 62147 80622 86594 115722 124294 129891 186441 259782 372882 389673 559323 779346 1118646 1169019 1677969 2338038 3199499 3355938 6398998 9598497 19196994 28795491 57590982 86386473 92785471 172772946 185570942 278356413 556712826 835069239 1670138478 2505207717 5010415434