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48364446384 = 2433111954737
BaseRepresentation
bin101101000010101111…
…101110001010110000
311121211121020102212000
4231002233232022300
51243022244241014
634115053534000
73331342003602
oct550257561260
9147747212760
1048364446384
1119569518451
1294591a4300
134739c69217
1424ab423172
1513d0ec1509
hexb42bee2b0

48364446384 has 40 divisors (see below), whose sum is σ = 138823875120. Its totient is φ = 16121481984.

The previous prime is 48364446379. The next prime is 48364446407.

48364446384 is a `hidden beast` number, since 48 + 3 + 64 + 4 + 463 + 84 = 666.

48364446384 is nontrivially palindromic in base 10.

48364446384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 48364446384.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 55976937 + ... + 55977800.

It is an arithmetic number, because the mean of its divisors is an integer number (3470596878).

Almost surely, 248364446384 is an apocalyptic number.

It is an amenable number.

48364446384 is an abundant number, since it is smaller than the sum of its proper divisors (90459428736).

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

48364446384 is a wasteful number, since it uses less digits than its factorization.

48364446384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111954754 (or 111954742 counting only the distinct ones).

The product of its digits is 21233664, while the sum is 54.

The spelling of 48364446384 in words is "forty-eight billion, three hundred sixty-four million, four hundred forty-six thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 111954737 223909474 335864211 447818948 671728422 895637896 1007592633 1343456844 1791275792 2015185266 2686913688 3022777899 4030370532 5373827376 6045555798 8060741064 12091111596 16121482128 24182223192 48364446384