Search a number
-
+
68732918280 = 2333513173743181
BaseRepresentation
bin100000000000011001…
…1010001101000001000
320120102010010000112000
41000000303101220020
52111231111341110
651324144551000
74652160110565
oct1000063215010
9216363100460
1068732918280
1127170a388a4
12113a2622460
136634a96a60
14348062386c
151bc42741c0
hex1000cd1a08

68732918280 has 1024 divisors, whose sum is σ = 276064588800. Its totient is φ = 15049359360.

The previous prime is 68732918279. The next prime is 68732918291. The reversal of 68732918280 is 8281923786.

It is a happy number.

68732918280 is a `hidden beast` number, since 6 + 8 + 73 + 291 + 8 + 280 = 666.

It is a super-3 number, since 3×687329182803 (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 379739790 + ... + 379739970.

It is an arithmetic number, because the mean of its divisors is an integer number (269594325).

Almost surely, 268732918280 is an apocalyptic number.

68732918280 is a gapful number since it is divisible by the number (60) 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 68732918280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138032294400).

68732918280 is an abundant number, since it is smaller than the sum of its proper divisors (207331670520).

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

68732918280 is a wasteful number, since it uses less digits than its factorization.

68732918280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 311 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 68732918280 in words is "sixty-eight billion, seven hundred thirty-two million, nine hundred eighteen thousand, two hundred eighty".