Search a number
-
+
68507897040 = 243351110726947
BaseRepresentation
bin111111110011011000…
…111000110011010000
320112211102200202102000
4333303120320303100
52110301010201130
651245545554000
74643455342152
oct776330706320
9215742622360
1068507897040
1127065a16030
121133b1a5900
1365ca28b9ab
14345c7aaad2
151bae626260
hexff3638cd0

68507897040 has 320 divisors, whose sum is σ = 259839083520. Its totient is φ = 16452149760.

The previous prime is 68507897009. The next prime is 68507897041. The reversal of 68507897040 is 4079870586.

68507897040 is a `hidden beast` number, since 6 + 8 + 507 + 8 + 97 + 0 + 40 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68507897041) 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, 2528847 + ... + 2555793.

It is an arithmetic number, because the mean of its divisors is an integer number (811997136).

Almost surely, 268507897040 is an apocalyptic number.

68507897040 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 68507897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129919541760).

68507897040 is an abundant number, since it is smaller than the sum of its proper divisors (191331186480).

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

68507897040 is a wasteful number, since it uses less digits than its factorization.

68507897040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27087 (or 27075 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 68507897040 in words is "sixty-eight billion, five hundred seven million, eight hundred ninety-seven thousand, forty".