Search a number
-
+
5264231860800 = 263552111230881
BaseRepresentation
bin100110010011010110010…
…1010111000101001000000
3200122020220100222102100000
41030212230222320221000
51142222121324021200
615110204342200000
71052220400343343
oct114465452705100
920566810872300
105264231860800
11174a603713440
127102b0723000
132c25517c3263
14142b0c38845a
1591e04bbd300
hex4c9acab8a40

5264231860800 has 504 divisors, whose sum is σ = 21167251271712. Its totient is φ = 1276176384000.

The previous prime is 5264231860757. The next prime is 5264231860861. The reversal of 5264231860800 is 80681324625.

5264231860800 is a `hidden beast` number, since 5 + 2 + 6 + 4 + 2 + 31 + 8 + 608 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3661360 + ... + 4892240.

It is an arithmetic number, because the mean of its divisors is an integer number (41998514428).

Almost surely, 25264231860800 is an apocalyptic number.

5264231860800 is a gapful number since it is divisible by the number (50) 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 5264231860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10583625635856).

5264231860800 is an abundant number, since it is smaller than the sum of its proper divisors (15903019410912).

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

5264231860800 is a wasteful number, since it uses less digits than its factorization.

5264231860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1230929 (or 1230902 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 5264231860800 in words is "five trillion, two hundred sixty-four billion, two hundred thirty-one million, eight hundred sixty thousand, eight hundred".