Search a number
-
+
5644890949464 = 2332131719791271861
BaseRepresentation
bin101001000100100110110…
…1110000100011101011000
3201222122110011012200202100
41102021031232010131120
51214441214040340324
620001121015403400
71121554442246634
oct122111556043530
921878404180670
105644890949464
111886a91862898
12772026683560
1331c407170760
141572dd9cddc4
159bc8363b4c9
hex5224db84758

5644890949464 has 768 divisors, whose sum is σ = 18738929664000. Its totient is φ = 1516222955520.

The previous prime is 5644890949459. The next prime is 5644890949493. The reversal of 5644890949464 is 4649490984465.

5644890949464 is a `hidden beast` number, since 5 + 6 + 4 + 48 + 90 + 9 + 494 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5644890949392 and 5644890949401.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3033255894 + ... + 3033257754.

It is an arithmetic number, because the mean of its divisors is an integer number (24399648000).

Almost surely, 25644890949464 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 5644890949464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9369464832000).

5644890949464 is an abundant number, since it is smaller than the sum of its proper divisors (13094038714536).

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

5644890949464 is a wasteful number, since it uses less digits than its factorization.

5644890949464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2128 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 1074954240, while the sum is 72.

The spelling of 5644890949464 in words is "five trillion, six hundred forty-four billion, eight hundred ninety million, nine hundred forty-nine thousand, four hundred sixty-four".