Search a number
-
+
26978197213440 = 28325113171197491
BaseRepresentation
bin1100010001001010110011…
…10111001001000100000000
310112112002102221122011112200
412020211121313021010000
512014002321441312230
6133213340202153200
75453052606453534
oct610453167110400
9115462387564480
1026978197213440
118661431009110
12303867b7b2800
1312090578aa215
14693a749abbc4
1531bb71410160
hex188959dc9100

26978197213440 has 1728 divisors, whose sum is σ = 107351845945344. Its totient is φ = 6195732480000.

The previous prime is 26978197213421. The next prime is 26978197213447. The reversal of 26978197213440 is 4431279187962.

26978197213440 is a `hidden beast` number, since 2 + 6 + 9 + 7 + 81 + 97 + 21 + 3 + 440 = 666.

It is not an unprimeable number, because it can be changed into a prime (26978197213447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 54945411595 + ... + 54945412085.

It is an arithmetic number, because the mean of its divisors is an integer number (62124910848).

Almost surely, 226978197213440 is an apocalyptic number.

26978197213440 is a gapful number since it is divisible by the number (20) 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 26978197213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53675922972672).

26978197213440 is an abundant number, since it is smaller than the sum of its proper divisors (80373648731904).

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

26978197213440 is a wasteful number, since it uses less digits than its factorization.

26978197213440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 811 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 26978197213440 in words is "twenty-six trillion, nine hundred seventy-eight billion, one hundred ninety-seven million, two hundred thirteen thousand, four hundred forty".