Search a number
-
+
60678714096 = 2432731131371
BaseRepresentation
bin111000100000101110…
…111011001011110000
312210121210201001110100
4320200232323023300
51443232222322341
643513031232400
74245450363000
oct704056731360
9183553631410
1060678714096
1123808609000
12b915218700
135950255a70
142d18a8a000
1518a211d3b6
hexe20bbb2f0

60678714096 has 960 divisors, whose sum is σ = 237884774400. Its totient is φ = 14343436800.

The previous prime is 60678714077. The next prime is 60678714133. The reversal of 60678714096 is 69041787606.

It is a happy number.

60678714096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 854629741 + ... + 854629811.

It is an arithmetic number, because the mean of its divisors is an integer number (247796640).

Almost surely, 260678714096 is an apocalyptic number.

60678714096 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 60678714096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118942387200).

60678714096 is an abundant number, since it is smaller than the sum of its proper divisors (177206060304).

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

60678714096 is a wasteful number, since it uses less digits than its factorization.

60678714096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 60678714096 in words is "sixty billion, six hundred seventy-eight million, seven hundred fourteen thousand, ninety-six".