Search a number
-
+
68908129920 = 2733571929983
BaseRepresentation
bin100000000101100111…
…1101001111010000000
320120212022210200201000
41000023033221322000
52112110440124140
651353404212000
74656415303650
oct1001317517200
9216768720630
1068908129920
112725092aa03
121143123a000
136662182296
1434999d2360
151bd4833a30
hex100b3e9e80

68908129920 has 512 divisors, whose sum is σ = 293603328000. Its totient is φ = 14920962048.

The previous prime is 68908129897. The next prime is 68908129921. The reversal of 68908129920 is 2992180986.

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

It is not an unprimeable number, because it can be changed into a prime (68908129921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2283249 + ... + 2313231.

It is an arithmetic number, because the mean of its divisors is an integer number (573444000).

Almost surely, 268908129920 is an apocalyptic number.

68908129920 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 68908129920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146801664000).

68908129920 is an abundant number, since it is smaller than the sum of its proper divisors (224695198080).

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

68908129920 is a wasteful number, since it uses less digits than its factorization.

68908129920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30037 (or 30019 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The spelling of 68908129920 in words is "sixty-eight billion, nine hundred eight million, one hundred twenty-nine thousand, nine hundred twenty".