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6997103568 = 2433721347541
BaseRepresentation
bin1101000010000111…
…10101001111010000
3200001122021200122000
412201003311033100
5103312224303233
63114152114000
7335252253600
oct64103651720
920048250560
106997103568
112a70756524
121433395900
13876830790
144a5404c00
152ae445d13
hex1a10f53d0

6997103568 has 480 divisors, whose sum is σ = 25743352320. Its totient is φ = 1802787840.

The previous prime is 6997103563. The next prime is 6997103573. The reversal of 6997103568 is 8653017996.

6997103568 is a `hidden beast` number, since 6 + 9 + 9 + 71 + 0 + 3 + 568 = 666.

It is an interprime number because it is at equal distance from previous prime (6997103563) and next prime (6997103573).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6997103563) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12933378 + ... + 12933918.

It is an arithmetic number, because the mean of its divisors is an integer number (53631984).

Almost surely, 26997103568 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 6997103568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12871676160).

6997103568 is an abundant number, since it is smaller than the sum of its proper divisors (18746248752).

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

6997103568 is a wasteful number, since it uses less digits than its factorization.

6997103568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 632 (or 613 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The square root of 6997103568 is about 83648.6913705170. The cubic root of 6997103568 is about 1912.6673047025.

The spelling of 6997103568 in words is "six billion, nine hundred ninety-seven million, one hundred three thousand, five hundred sixty-eight".