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68189767776 = 253213235367223
BaseRepresentation
bin111111100000011011…
…010100100001100000
320112000021002010002200
4333200123110201200
52104123040032101
651154223213200
74632543314454
oct774033244140
9215007063080
1068189767776
1126a12389889
1211270747200
1365793b4120
14342c438664
151b91735986
hexfe06d4860

68189767776 has 576 divisors, whose sum is σ = 226346545152. Its totient is φ = 19309694976.

The previous prime is 68189767739. The next prime is 68189767823. The reversal of 68189767776 is 67776798186.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (298722816) is a multiple of the sum of its prime divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 305783601 + ... + 305783823.

It is an arithmetic number, because the mean of its divisors is an integer number (392962752).

Almost surely, 268189767776 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 68189767776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113173272576).

68189767776 is an abundant number, since it is smaller than the sum of its proper divisors (158156777376).

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

68189767776 is a wasteful number, since it uses less digits than its factorization.

68189767776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 395 (or 384 counting only the distinct ones).

The product of its digits is 298722816, while the sum is 72.

The spelling of 68189767776 in words is "sixty-eight billion, one hundred eighty-nine million, seven hundred sixty-seven thousand, seven hundred seventy-six".