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2678204503296 = 283272941139663
BaseRepresentation
bin100110111110010001011…
…011011001010100000000
3100111000220200021022000100
4212332101123121110000
5322334430323101141
65410203345122400
7364331255444310
oct46762133312400
910430820238010
102678204503296
11942902692193
12373079329400
131657273522aa
14938a9249440
15499ed8a00b6
hex26f916d9500

2678204503296 has 432 divisors, whose sum is σ = 9352102556160. Its totient is φ = 720789995520.

The previous prime is 2678204503253. The next prime is 2678204503297. The reversal of 2678204503296 is 6923054028762.

2678204503296 is a `hidden beast` number, since 2 + 6 + 78 + 2 + 0 + 450 + 32 + 96 = 666.

It is a super-2 number, since 2×26782045032962 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2678204503297) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19106361 + ... + 19246023.

Almost surely, 22678204503296 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 2678204503296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4676051278080).

2678204503296 is an abundant number, since it is smaller than the sum of its proper divisors (6673898052864).

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

2678204503296 is a wasteful number, since it uses less digits than its factorization.

2678204503296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139762 (or 139745 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 2678204503296 in words is "two trillion, six hundred seventy-eight billion, two hundred four million, five hundred three thousand, two hundred ninety-six".