Search a number
-
+
5941770794064 = 24327103149384089
BaseRepresentation
bin101011001110110110100…
…1000110011010001010000
3210001000202020000101221100
41112131231020303101100
51234322221310402224
620345340053024400
71152164422300320
oct126355510632120
923030666011840
105941770794064
111990988791166
127bb67b025100
133413ca738261
141678245ad280
15a485be1eac9
hex5676d233450

5941770794064 has 240 divisors, whose sum is σ = 19317576096000. Its totient is φ = 1669879425024.

The previous prime is 5941770794041. The next prime is 5941770794077. The reversal of 5941770794064 is 4604970771495.

5941770794064 is a `hidden beast` number, since 5 + 9 + 417 + 70 + 7 + 94 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 5941770793992 and 5941770794010.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15277732 + ... + 15661820.

It is an arithmetic number, because the mean of its divisors is an integer number (80489900400).

Almost surely, 25941770794064 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 5941770794064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9658788048000).

5941770794064 is an abundant number, since it is smaller than the sum of its proper divisors (13375805301936).

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

5941770794064 is a wasteful number, since it uses less digits than its factorization.

5941770794064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384362 (or 384353 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 5941770794064 in words is "five trillion, nine hundred forty-one billion, seven hundred seventy million, seven hundred ninety-four thousand, sixty-four".