Search a number
-
+
6798743368704 = 2103371753127307
BaseRepresentation
bin110001011101111010010…
…1011101111010000000000
3220001221202010002210211000
41202323310223233100000
51342342311300244304
622243144413252000
71301123125061130
oct142736453572000
926057663083730
106798743368704
112191370430491
12919785494000
133a4170b77451
141970bd2c2ac0
15bbcb6ca4939
hex62ef4aef400

6798743368704 has 1408 divisors, whose sum is σ = 25101216645120. Its totient is φ = 1773817823232.

The previous prime is 6798743368667. The next prime is 6798743368723. The reversal of 6798743368704 is 4078633478976.

It is a happy number.

6798743368704 is a `hidden beast` number, since 67 + 9 + 8 + 7 + 433 + 68 + 70 + 4 = 666.

It is a super-2 number, since 2×67987433687042 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22145743719 + ... + 22145744025.

It is an arithmetic number, because the mean of its divisors is an integer number (17827568640).

Almost surely, 26798743368704 is an apocalyptic number.

6798743368704 is a gapful number since it is divisible by the number (64) 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 6798743368704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12550608322560).

6798743368704 is an abundant number, since it is smaller than the sum of its proper divisors (18302473276416).

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

6798743368704 is a wasteful number, since it uses less digits than its factorization.

6798743368704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 1024192512, while the sum is 72.

The spelling of 6798743368704 in words is "six trillion, seven hundred ninety-eight billion, seven hundred forty-three million, three hundred sixty-eight thousand, seven hundred four".