Search a number
-
+
5016847713696 = 25327133153263443
BaseRepresentation
bin100100100000001001101…
…1011010000010110100000
3122202121100202001122210100
41021000103123100112200
51124144001003314241
614400412533302400
71025312106652020
oct111002333202640
918677322048710
105016847713696
1116646a6822195
12690370194a00
132a5118667c20
14134b61143a80
158a7768669b6
hex490136d05a0

5016847713696 has 1152 divisors, whose sum is σ = 18579437420544. Its totient is φ = 1248682106880.

The previous prime is 5016847713587. The next prime is 5016847713701. The reversal of 5016847713696 is 6963177486105.

5016847713696 is a `hidden beast` number, since 5 + 0 + 1 + 68 + 477 + 13 + 6 + 96 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 11324712451 + ... + 11324712893.

It is an arithmetic number, because the mean of its divisors is an integer number (16127983872).

Almost surely, 25016847713696 is an apocalyptic number.

5016847713696 is a gapful number since it is divisible by the number (56) 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 5016847713696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9289718710272).

5016847713696 is an abundant number, since it is smaller than the sum of its proper divisors (13562589706848).

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

5016847713696 is a wasteful number, since it uses less digits than its factorization.

5016847713696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 826 (or 815 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 63.

The spelling of 5016847713696 in words is "five trillion, sixteen billion, eight hundred forty-seven million, seven hundred thirteen thousand, six hundred ninety-six".