Search a number
-
+
68854892832 = 25331119973931
BaseRepresentation
bin100000000100000010…
…0100100100100100000
320120201121121222011000
41000020010210210200
52112003323032312
651344223152000
74655200634535
oct1001004444440
9216647558130
1068854892832
1127223879110
1211417445600
13665413264b
1434928d4d8c
151bced19adc
hex1008124920

68854892832 has 384 divisors, whose sum is σ = 233051212800. Its totient is φ = 19558195200.

The previous prime is 68854892819. The next prime is 68854892849. The reversal of 68854892832 is 23829845886.

68854892832 is a `hidden beast` number, since 6 + 8 + 8 + 548 + 9 + 2 + 83 + 2 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 68854892832.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17513907 + ... + 17517837.

It is an arithmetic number, because the mean of its divisors is an integer number (606904200).

Almost surely, 268854892832 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 68854892832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116525606400).

68854892832 is an abundant number, since it is smaller than the sum of its proper divisors (164196319968).

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

68854892832 is a wasteful number, since it uses less digits than its factorization.

68854892832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4077 (or 4063 counting only the distinct ones).

The product of its digits is 53084160, while the sum is 63.

The spelling of 68854892832 in words is "sixty-eight billion, eight hundred fifty-four million, eight hundred ninety-two thousand, eight hundred thirty-two".