Search a number
-
+
68863700880 = 24335132712657
BaseRepresentation
bin100000000100010011…
…0001010111110010000
320120202020012110112000
41000020212022332100
52112013101412010
651345140034000
74655335541142
oct1001046127620
9216666173460
1068863700880
1127228844797
121141a392900
136655bc7800
143493b48c92
151bd09a97c0
hex100898af90

68863700880 has 480 divisors, whose sum is σ = 260562251520. Its totient is φ = 16706027520.

The previous prime is 68863700863. The next prime is 68863700891. The reversal of 68863700880 is 8800736886.

It is a happy number.

It is a super-2 number, since 2×688637008802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25916512 + ... + 25919168.

It is an arithmetic number, because the mean of its divisors is an integer number (542838024).

Almost surely, 268863700880 is an apocalyptic number.

68863700880 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 68863700880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130281125760).

68863700880 is an abundant number, since it is smaller than the sum of its proper divisors (191698550640).

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

68863700880 is a wasteful number, since it uses less digits than its factorization.

68863700880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2751 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 68863700880 in words is "sixty-eight billion, eight hundred sixty-three million, seven hundred thousand, eight hundred eighty".