Search a number
-
+
8239997046672 = 2432197119721093
BaseRepresentation
bin111011111101000011000…
…0110001100111110010000
31002011201212120011120122200
41313322012012030332100
52040001003220443142
625305222525403200
71510214544153606
oct167720606147620
932151776146580
108239997046672
112697621575606
12b10b72409500
1347a04a4a0551
14206b6479d876
15e451b9db64c
hex77e8618cf90

8239997046672 has 360 divisors, whose sum is σ = 24764377210560. Its totient is φ = 2550097105920.

The previous prime is 8239997046641. The next prime is 8239997046679. The reversal of 8239997046672 is 2766407999328.

8239997046672 is a `hidden beast` number, since 8 + 2 + 3 + 9 + 9 + 97 + 0 + 466 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 8239997046672.

It is not an unprimeable number, because it can be changed into a prime (8239997046679) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 7538880558 + ... + 7538881650.

It is an arithmetic number, because the mean of its divisors is an integer number (68789936696).

Almost surely, 28239997046672 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 8239997046672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12382188605280).

8239997046672 is an abundant number, since it is smaller than the sum of its proper divisors (16524380163888).

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

8239997046672 is a wasteful number, since it uses less digits than its factorization.

8239997046672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1591 (or 1385 counting only the distinct ones).

The product of its (nonzero) digits is 493807104, while the sum is 72.

The spelling of 8239997046672 in words is "eight trillion, two hundred thirty-nine billion, nine hundred ninety-seven million, forty-six thousand, six hundred seventy-two".