Search a number
-
+
68202278784 = 27321737611543
BaseRepresentation
bin111111100001001011…
…000010111110000000
320112001010121201222100
4333201023002332000
52104134240410114
651155351310400
74633054542633
oct774113027600
9215033551870
1068202278784
1126a19454562
121127497b400
13657bb748a3
14342dd73c1a
151b928a7909
hexfe12c2f80

68202278784 has 384 divisors, whose sum is σ = 217059410880. Its totient is φ = 20463943680.

The previous prime is 68202278777. The next prime is 68202278827. The reversal of 68202278784 is 48787220286.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 68202278784.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 44200317 + ... + 44201859.

Almost surely, 268202278784 is an apocalyptic number.

68202278784 is a gapful number since it is divisible by the number (64) 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 68202278784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108529705440).

68202278784 is an abundant number, since it is smaller than the sum of its proper divisors (148857132096).

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

68202278784 is a wasteful number, since it uses less digits than its factorization.

68202278784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1678 (or 1663 counting only the distinct ones).

The product of its (nonzero) digits is 4816896, while the sum is 54.

The spelling of 68202278784 in words is "sixty-eight billion, two hundred two million, two hundred seventy-eight thousand, seven hundred eighty-four".