Search a number
-
+
68719214592 = 2183371973
BaseRepresentation
bin111111111111111111…
…000000000000000000
320120101011022210121000
4333333333000000000
52111214104331332
651322535132000
74651632454260
oct777777000000
9216334283530
1068719214592
1127164229036
1211399b14000
136631ca9472
14347c8977a0
151bc2e68b7c
hexffffc0000

68719214592 has 608 divisors, whose sum is σ = 248302323200. Its totient is φ = 18345885696.

The previous prime is 68719214591. The next prime is 68719214617. The reversal of 68719214592 is 29541291786.

It is a happy number.

68719214592 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (608).

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (2177280) is a multiple of the sum of its prime factors (144).

It is a nialpdrome in base 2, base 4, base 8 and base 16.

It is a zygodrome in base 2, base 4 and base 8.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68719214591) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 941359068 + ... + 941359140.

Almost surely, 268719214592 is an apocalyptic number.

It is a pronic number, being equal to 262143×262144.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 68719214592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124151161600).

68719214592 is an abundant number, since it is smaller than the sum of its proper divisors (179583108608).

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

68719214592 is an frugal number, since it uses more digits than its factorization.

68719214592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 104 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 68719214592 in words is "sixty-eight billion, seven hundred nineteen million, two hundred fourteen thousand, five hundred ninety-two".