Search a number
-
+
4479923954688 = 2103713431931931
BaseRepresentation
bin100000100110001000001…
…0001101010010000000000
3120212021110121021122100220
41001030100101222100000
51041344341013022223
613310014301543040
7641443456213230
oct101142021522000
916767417248326
104479923954688
111477a1a310086
126042a5574a80
132665bb894550
14116b88123cc0
157b7ee3506e3
hex4131046a400

4479923954688 has 704 divisors, whose sum is σ = 15123676710912. Its totient is φ = 1147467202560.

The previous prime is 4479923954659. The next prime is 4479923954699. The reversal of 4479923954688 is 8864593299744.

It is a Harshad number since it is a multiple of its sum of digits (78).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2320001083 + ... + 2320003013.

It is an arithmetic number, because the mean of its divisors is an integer number (21482495328).

Almost surely, 24479923954688 is an apocalyptic number.

4479923954688 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4479923954688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7561838355456).

4479923954688 is an abundant number, since it is smaller than the sum of its proper divisors (10643752756224).

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

4479923954688 is a wasteful number, since it uses less digits than its factorization.

4479923954688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2192 counting only the distinct ones).

The product of its digits is 3762339840, while the sum is 78.

The spelling of 4479923954688 in words is "four trillion, four hundred seventy-nine billion, nine hundred twenty-three million, nine hundred fifty-four thousand, six hundred eighty-eight".