Search a number
-
+
4928077986624 = 2633132341593943
BaseRepresentation
bin100011110110110100001…
…0101100111101101000000
3122110010020020011021212000
41013231220111213231000
51121220200431032444
614251532222104000
71016020236510012
oct107555025475500
918403206137760
104928077986624
11162aa93604391
1267711741b000
1329993c6a93c0
1413073d7b61b2
15882cd505469
hex47b68567b40

4928077986624 has 896 divisors, whose sum is σ = 16964475494400. Its totient is φ = 1390692188160.

The previous prime is 4928077986539. The next prime is 4928077986631. The reversal of 4928077986624 is 4266897708294.

4928077986624 is a `hidden beast` number, since 492 + 8 + 0 + 7 + 79 + 8 + 6 + 62 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1249827597 + ... + 1249831539.

It is an arithmetic number, because the mean of its divisors is an integer number (18933566400).

Almost surely, 24928077986624 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 4928077986624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8482237747200).

4928077986624 is an abundant number, since it is smaller than the sum of its proper divisors (12036397507776).

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

4928077986624 is a wasteful number, since it uses less digits than its factorization.

4928077986624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4100 (or 4084 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 4928077986624 in words is "four trillion, nine hundred twenty-eight billion, seventy-seven million, nine hundred eighty-six thousand, six hundred twenty-four".