Search a number
-
+
46454445464 = 23731712912027
BaseRepresentation
bin101011010000111001…
…101001010110011000
311102220111020100011012
4223100321221112120
51230114314223324
633201343553052
73233120162030
oct532071512630
9142814210135
1046454445464
1118779361499
1290055bb788
1344c434356b
1423698b48c0
15131d48a20e
hexad0e69598

46454445464 has 64 divisors (see below), whose sum is σ = 99985916160. Its totient is φ = 19821087360.

The previous prime is 46454445451. The next prime is 46454445509.

46454445464 is nontrivially palindromic in base 10.

It is a congruent number.

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, 22916819 + ... + 22918845.

It is an arithmetic number, because the mean of its divisors is an integer number (1562279940).

Almost surely, 246454445464 is an apocalyptic number.

It is an amenable number.

46454445464 is an abundant number, since it is smaller than the sum of its proper divisors (53531470696).

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

46454445464 is a wasteful number, since it uses less digits than its factorization.

46454445464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3648 (or 3644 counting only the distinct ones).

The product of its digits is 14745600, while the sum is 50.

The spelling of 46454445464 in words is "forty-six billion, four hundred fifty-four million, four hundred forty-five thousand, four hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 56 317 634 1268 1291 2027 2219 2536 2582 4054 4438 5164 8108 8876 9037 10328 14189 16216 17752 18074 28378 36148 56756 72296 113512 409247 642559 818494 1285118 1636988 2570236 2616857 2864729 3273976 4497913 5140472 5233714 5729458 8995826 10467428 11458916 17991652 18317999 20934856 22917832 35983304 36635998 73271996 146543992 829543669 1659087338 3318174676 5806805683 6636349352 11613611366 23227222732 46454445464