Search a number
-
+
5097746862208 = 2771113193122179
BaseRepresentation
bin100101000101110100101…
…1001000001000010000000
3200001100011202002012200001
41022023221121001002000
51132010141144042313
614501512251005344
71034204630244610
oct112135131010200
920040152065601
105097746862208
111695a40229910
126a3b89139854
132ac93bb58980
14138a37496a40
158c90dc44add
hex4a2e9641080

5097746862208 has 768 divisors, whose sum is σ = 14837993856000. Its totient is φ = 1680063897600.

The previous prime is 5097746862199. The next prime is 5097746862253. The reversal of 5097746862208 is 8022686477905.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a self number, because there is not a number n which added to its sum of digits gives 5097746862208.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2339488063 + ... + 2339490241.

It is an arithmetic number, because the mean of its divisors is an integer number (19320304500).

Almost surely, 25097746862208 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 5097746862208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7418996928000).

5097746862208 is an abundant number, since it is smaller than the sum of its proper divisors (9740246993792).

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

5097746862208 is a wasteful number, since it uses less digits than its factorization.

5097746862208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2305 (or 2262 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

The spelling of 5097746862208 in words is "five trillion, ninety-seven billion, seven hundred forty-six million, eight hundred sixty-two thousand, two hundred eight".