Search a number
-
+
681077077296 = 2437112179710159
BaseRepresentation
bin10011110100100110101…
…10110111010100110000
32102002222102200022202220
421322103112313110300
542124321212433141
61240514341241040
7100130503431450
oct11722326672460
92362872608686
10681077077296
11242930288800
12abbb7403180
134c2c0c78465
1424d700b1d60
1512ab2b95766
hex9e935b7530

681077077296 has 480 divisors, whose sum is σ = 2364588656640. Its totient is φ = 164764385280.

The previous prime is 681077077249. The next prime is 681077077319. The reversal of 681077077296 is 692770770186.

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, 67036665 + ... + 67046823.

It is an arithmetic number, because the mean of its divisors is an integer number (4926226368).

Almost surely, 2681077077296 is an apocalyptic number.

681077077296 is a gapful number since it is divisible by the number (66) 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 681077077296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182294328320).

681077077296 is an abundant number, since it is smaller than the sum of its proper divisors (1683511579344).

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

681077077296 is a wasteful number, since it uses less digits than its factorization.

681077077296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10313 (or 10296 counting only the distinct ones).

The product of its (nonzero) digits is 12446784, while the sum is 60.

The spelling of 681077077296 in words is "six hundred eighty-one billion, seventy-seven million, seventy-seven thousand, two hundred ninety-six".