Search a number
-
+
6867340480 = 2657112131949
BaseRepresentation
bin1100110010101001…
…10100110011000000
3122201121010001010201
412121110310303000
5103031014343410
63053234534544
7332115300550
oct63124646300
918647101121
106867340480
112a04486600
1213b7a37454
13855998aa0
144920a7160
152a2d6283a
hex199534cc0

6867340480 has 336 divisors, whose sum is σ = 22133966400. Its totient is φ = 1974804480.

The previous prime is 6867340457. The next prime is 6867340517. The reversal of 6867340480 is 840437686.

It is a self number, because there is not a number n which added to its sum of digits gives 6867340480.

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, 3522546 + ... + 3524494.

It is an arithmetic number, because the mean of its divisors is an integer number (65874900).

Almost surely, 26867340480 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 6867340480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11066983200).

6867340480 is an abundant number, since it is smaller than the sum of its proper divisors (15266625920).

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

6867340480 is a wasteful number, since it uses less digits than its factorization.

6867340480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1987 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 46.

The square root of 6867340480 is about 82869.4182434027. The cubic root of 6867340480 is about 1900.7698154786.

The spelling of 6867340480 in words is "six billion, eight hundred sixty-seven million, three hundred forty thousand, four hundred eighty".