Base | Representation |
---|---|
bin | 10001110010110110111010… |
… | …011111000100011101000000 |
3 | 101021002202012101001100221100 |
4 | 101302312322133010131000 |
5 | 40224220004304313141 |
6 | 434240535202454400 |
7 | 22325136400223115 |
oct | 2162667237043500 |
9 | 337082171040840 |
10 | 78261727807296 |
11 | 22a33681082830 |
12 | 893b792364400 |
13 | 348908430b697 |
14 | 1547c6031c90c |
15 | 90ab7917b0b6 |
hex | 472dba7c4740 |
78261727807296 has 672 divisors, whose sum is σ = 260866601049600. Its totient is φ = 22169915228160.
The previous prime is 78261727807267. The next prime is 78261727807397. The reversal of 78261727807296 is 69270872716287.
It is a happy number.
78261727807296 is a `hidden beast` number, since 7 + 8 + 2 + 61 + 7 + 278 + 0 + 7 + 296 = 666.
It is a super-2 number, since 2×782617278072962 (a number of 29 digits) contains 22 as substring.
It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
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 95 ways as a sum of consecutive naturals, for example, 10528951996 + ... + 10528959428.
It is an arithmetic number, because the mean of its divisors is an integer number (388194346800).
Almost surely, 278261727807296 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 78261727807296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130433300524800).
78261727807296 is an abundant number, since it is smaller than the sum of its proper divisors (182604873242304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
78261727807296 is a wasteful number, since it uses less digits than its factorization.
78261727807296 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 8127 (or 8114 counting only the distinct ones).
The product of its (nonzero) digits is 398297088, while the sum is 72.
The spelling of 78261727807296 in words is "seventy-eight trillion, two hundred sixty-one billion, seven hundred twenty-seven million, eight hundred seven thousand, two hundred ninety-six".
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