Search a number
-
+
4856790564864 = 214357237577
BaseRepresentation
bin100011010101100111101…
…0001101100000000000000
3122012022020002022001100000
41012223033101230000000
51114033201341033424
614155102341200000
71010614540435110
oct106531721540000
918168202261300
104856790564864
111602831726297
12665341400000
13292cbb60c034
1412b0d9bd5040
1586509d8b3c9
hex46acf46c000

4856790564864 has 720 divisors, whose sum is σ = 17353772287488. Its totient is φ = 1327146467328.

The previous prime is 4856790564839. The next prime is 4856790564881. The reversal of 4856790564864 is 4684650976584.

It is a happy number.

4856790564864 is a `hidden beast` number, since 4 + 8 + 5 + 6 + 7 + 90 + 56 + 486 + 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 = 4856790564792 and 4856790564801.

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, 640987444 + ... + 640995020.

Almost surely, 24856790564864 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 4856790564864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8676886143744).

4856790564864 is an abundant number, since it is smaller than the sum of its proper divisors (12496981722624).

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

4856790564864 is an frugal number, since it uses more digits than its factorization.

4856790564864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7650 (or 7612 counting only the distinct ones).

The product of its (nonzero) digits is 1393459200, while the sum is 72.

The spelling of 4856790564864 in words is "four trillion, eight hundred fifty-six billion, seven hundred ninety million, five hundred sixty-four thousand, eight hundred sixty-four".