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4268836878768 = 2433711891441933
BaseRepresentation
bin111110000111101010100…
…000010111100110110000
3120010002121120201010221000
4332013222200113212300
51024420034220110033
613025024313202000
7620261520526560
oct76075240274660
916102546633830
104268836878768
1113a6449147720
1258b3b4a00300
1324c71b5b0a27
1410a881786da0
157609788ba13
hex3e1ea8179b0

4268836878768 has 320 divisors, whose sum is σ = 15448304102400. Its totient is φ = 1096329738240.

The previous prime is 4268836878737. The next prime is 4268836878769. The reversal of 4268836878768 is 8678786388624.

4268836878768 is a `hidden beast` number, since 42 + 6 + 88 + 368 + 7 + 87 + 68 = 666.

4268836878768 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×42688368787683 (a number of 39 digits) contains 333 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (4268836878769) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2239530 + ... + 3681462.

It is an arithmetic number, because the mean of its divisors is an integer number (48275950320).

Almost surely, 24268836878768 is an apocalyptic number.

4268836878768 is a gapful number since it is divisible by the number (48) 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 4268836878768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7724152051200).

4268836878768 is an abundant number, since it is smaller than the sum of its proper divisors (11179467223632).

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

4268836878768 is a wasteful number, since it uses less digits than its factorization.

4268836878768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1442057 (or 1442045 counting only the distinct ones).

The product of its digits is 8323596288, while the sum is 81.

The spelling of 4268836878768 in words is "four trillion, two hundred sixty-eight billion, eight hundred thirty-six million, eight hundred seventy-eight thousand, seven hundred sixty-eight".