Search a number
-
+
6995389040640 = 21132571113219307
BaseRepresentation
bin110010111001011110110…
…1011011100100000000000
3220202202022200121222020200
41211302331223130200000
51404103024043300030
622513345400405200
71321254155521050
oct145627553344000
926682280558220
106995389040640
112257800820330
1294b905776800
133b987c271c00
141a2815ac5560
15c1e759e3d60
hex65cbdadc800

6995389040640 has 3456 divisors, whose sum is σ = 34566192460800. Its totient is φ = 1267012730880.

The previous prime is 6995389040587. The next prime is 6995389040719. The reversal of 6995389040640 is 460409835996.

6995389040640 is a `hidden beast` number, since 6 + 9 + 9 + 538 + 90 + 4 + 0 + 6 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 22786283367 + ... + 22786283673.

It is an arithmetic number, because the mean of its divisors is an integer number (10001791800).

Almost surely, 26995389040640 is an apocalyptic number.

6995389040640 is a gapful number since it is divisible by the number (60) 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 6995389040640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17283096230400).

6995389040640 is an abundant number, since it is smaller than the sum of its proper divisors (27570803420160).

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

6995389040640 is a wasteful number, since it uses less digits than its factorization.

6995389040640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 403 (or 367 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 6995389040640 in words is "six trillion, nine hundred ninety-five billion, three hundred eighty-nine million, forty thousand, six hundred forty".