Search a number
-
+
48353600635384 = 231123117109203999
BaseRepresentation
bin10101111111010001100110…
…01100001000000111111000
320100012120002120021211201211
422333220303030020013320
522314211133230313014
6250501200521052504
713120301204630422
oct1277506314100770
9210176076254654
1048353600635384
1114452712a8a280
12550b303027134
1320c9956a00605
14bd24808a3812
1558cbc4d70cc4
hex2bfa333081f8

48353600635384 has 64 divisors (see below), whose sum is σ = 103206700800000. Its totient is φ = 21023022049920.

The previous prime is 48353600635381. The next prime is 48353600635421.

48353600635384 is nontrivially palindromic in base 10.

48353600635384 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48353600635381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 236926617 + ... + 237130615.

It is an arithmetic number, because the mean of its divisors is an integer number (1612604700000).

Almost surely, 248353600635384 is an apocalyptic number.

48353600635384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

48353600635384 is an abundant number, since it is smaller than the sum of its proper divisors (54853100164616).

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

48353600635384 is a wasteful number, since it uses less digits than its factorization.

48353600635384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 321148 (or 321144 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 58.

It can be divided in two parts, 48353600 and 635384, that added together give a palindrome (48988984).

The spelling of 48353600635384 in words is "forty-eight trillion, three hundred fifty-three billion, six hundred million, six hundred thirty-five thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 22 23 44 46 88 92 184 253 506 1012 2024 117109 203999 234218 407998 468436 815996 936872 1288199 1631992 2243989 2576398 2693507 4487978 4691977 5152796 5387014 8975956 9383954 10305592 10774028 17951912 18767908 21548056 29628577 37535816 51611747 59257154 103223494 118514308 206446988 237028616 412893976 23890118891 47780237782 95560475564 191120951128 262791307801 525582615602 549472734493 1051165231204 1098945468986 2102330462408 2197890937972 4395781875944 6044200079423 12088400158846 24176800317692 48353600635384