Search a number
-
+
4876382266560 = 2632573172192931
BaseRepresentation
bin100011011110101111100…
…0010000110010011000000
3122021011210110112121121100
41012331133002012103000
51114343312330012220
614212102403254400
71012210204236000
oct106753702062300
918234713477540
104876382266560
1116100757317a2
126690aa67a400
13294ac152b22c
1412c037b96000
1586ca4d54d90
hex46f5f0864c0

4876382266560 has 4032 divisors, whose sum is σ = 23355970560000. Its totient is φ = 928601210880.

The previous prime is 4876382266499. The next prime is 4876382266571. The reversal of 4876382266560 is 656622836784.

It is a happy number.

4876382266560 is a `hidden beast` number, since 4 + 8 + 7 + 6 + 3 + 8 + 2 + 2 + 66 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

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

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 575 ways as a sum of consecutive naturals, for example, 157302653745 + ... + 157302653775.

Almost surely, 24876382266560 is an apocalyptic number.

4876382266560 is a gapful number since it is divisible by the number (40) 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 4876382266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11677985280000).

4876382266560 is an abundant number, since it is smaller than the sum of its proper divisors (18479588293440).

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

4876382266560 is a wasteful number, since it uses less digits than its factorization.

4876382266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 139345920, while the sum is 63.

The spelling of 4876382266560 in words is "four trillion, eight hundred seventy-six billion, three hundred eighty-two million, two hundred sixty-six thousand, five hundred sixty".