Search a number
-
+
46752184974 = 23112227283687
BaseRepresentation
bin101011100010101001…
…011011101010001110
311110200020111001222110
4223202221123222032
51231222024404344
633251101324450
73243364005165
oct534251335216
9143606431873
1046752184974
1118911431600
129089266726
134540c2c4a1
14239725a3dc
15133969e3b9
hexae2a5ba8e

46752184974 has 48 divisors (see below), whose sum is σ = 103230658944. Its totient is φ = 14104867920.

The previous prime is 46752184951. The next prime is 46752185003. The reversal of 46752184974 is 47948125764.

It is a super-2 number, since 2×467521849742 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22959 + ... + 306645.

It is an arithmetic number, because the mean of its divisors is an integer number (2150638728).

Almost surely, 246752184974 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46752184974, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51615329472).

46752184974 is an abundant number, since it is smaller than the sum of its proper divisors (56478473970).

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

46752184974 is a wasteful number, since it uses less digits than its factorization.

46752184974 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283941 (or 283930 counting only the distinct ones).

The product of its digits is 13547520, while the sum is 57.

The spelling of 46752184974 in words is "forty-six billion, seven hundred fifty-two million, one hundred eighty-four thousand, nine hundred seventy-four".

Divisors: 1 2 3 6 11 22 33 66 121 227 242 363 454 681 726 1362 2497 4994 7491 14982 27467 54934 82401 164802 283687 567374 851061 1702122 3120557 6241114 9361671 18723342 34326127 64396949 68652254 102978381 128793898 193190847 205956762 386381694 708366439 1416732878 2125099317 4250198634 7792030829 15584061658 23376092487 46752184974