Search a number
-
+
6995838564 = 223311134311051
BaseRepresentation
bin1101000001111110…
…00000011001100100
3200001112220102101000
412200333000121210
5103311413313224
63114105033300
7335235434541
oct64077003144
920045812330
106995838564
112a6aa72070
121432a85830
138764a9a60
144a5195bc8
152ae2960c9
hex1a0fc0664

6995838564 has 192 divisors, whose sum is σ = 21377986560. Its totient is φ = 1950480000.

The previous prime is 6995838491. The next prime is 6995838571. The reversal of 6995838564 is 4658385996.

6995838564 is a `hidden beast` number, since 69 + 9 + 5 + 8 + 3 + 8 + 564 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 6655839 + ... + 6656889.

It is an arithmetic number, because the mean of its divisors is an integer number (111343680).

Almost surely, 26995838564 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 6995838564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10688993280).

6995838564 is an abundant number, since it is smaller than the sum of its proper divisors (14382147996).

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

6995838564 is a wasteful number, since it uses less digits than its factorization.

6995838564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1519 (or 1511 counting only the distinct ones).

The product of its digits is 55987200, while the sum is 63.

The square root of 6995838564 is about 83641.1296193446. The cubic root of 6995838564 is about 1912.5520342629.

The spelling of 6995838564 in words is "six billion, nine hundred ninety-five million, eight hundred thirty-eight thousand, five hundred sixty-four".