Search a number
-
+
68108018219520 = 293589599166349
BaseRepresentation
bin11110111110001101000100…
…01110110111101000000000
322221011001200220010000110120
433133012202032313220000
532411340210131011040
6400504220331500240
720226433116605526
oct1737064216675000
9287131626100416
1068108018219520
111a7794a2792444
12777b9595b7680
132c00735204076
1412b6634cc4316
157d19a4b4b7d0
hex3df1a23b7a00

68108018219520 has 320 divisors, whose sum is σ = 220548160800000. Its totient is φ = 17927981367296.

The previous prime is 68108018219503. The next prime is 68108018219533. The reversal of 68108018219520 is 2591281080186.

68108018219520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 409345306 + ... + 409511654.

It is an arithmetic number, because the mean of its divisors is an integer number (689213002500).

Almost surely, 268108018219520 is an apocalyptic number.

68108018219520 is a gapful number since it is divisible by the number (60) 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 68108018219520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110274080400000).

68108018219520 is an abundant number, since it is smaller than the sum of its proper divisors (152440142580480).

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

68108018219520 is a wasteful number, since it uses less digits than its factorization.

68108018219520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167063 (or 167047 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 51.

The spelling of 68108018219520 in words is "sixty-eight trillion, one hundred eight billion, eighteen million, two hundred nineteen thousand, five hundred twenty".