Search a number
-
+
46722222764 = 22719461190507
BaseRepresentation
bin101011100000110111…
…001000101010101100
311110121011002211112222
4223200313020222230
51231141342112024
633244111214512
73242551224620
oct534067105254
9143534084488
1046722222764
11188a6527548
12907b217438
13453796b779
14239329b180
151336c3185e
hexae0dc8aac

46722222764 has 48 divisors (see below), whose sum is σ = 98576459520. Its totient is φ = 18928676160.

The previous prime is 46722222751. The next prime is 46722222773.

46722222764 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×467222227642 (a number of 22 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 149999 + ... + 340505.

It is an arithmetic number, because the mean of its divisors is an integer number (2053676240).

Almost surely, 246722222764 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 46722222764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49288229760).

46722222764 is an abundant number, since it is smaller than the sum of its proper divisors (51854236756).

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

46722222764 is a wasteful number, since it uses less digits than its factorization.

46722222764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190998 (or 190996 counting only the distinct ones).

The product of its digits is 903168, while the sum is 44.

The spelling of 46722222764 in words is "forty-six billion, seven hundred twenty-two million, two hundred twenty-two thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 19 28 38 76 133 266 461 532 922 1844 3227 6454 8759 12908 17518 35036 61313 122626 190507 245252 381014 762028 1333549 2667098 3619633 5334196 7239266 14478532 25337431 50674862 87823727 101349724 175647454 351294908 614766089 1229532178 1668650813 2459064356 3337301626 6674603252 11680555691 23361111382 46722222764