Search a number
-
+
68608504800 = 253252111750957
BaseRepresentation
bin111111111001011000…
…101011001111100000
320120002110000011022100
4333321120223033200
52111002234123200
651303542210400
74646116445223
oct777130531740
9216073004270
1068608504800
1127107792140
1211368a23a00
136615086004
14346bcb95ba
151bb839ad00
hexff962b3e0

68608504800 has 432 divisors, whose sum is σ = 279454894992. Its totient is φ = 15653683200.

The previous prime is 68608504777. The next prime is 68608504801. The reversal of 68608504800 is 840580686.

68608504800 is a `hidden beast` number, since 6 + 8 + 60 + 8 + 504 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68608504801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1320922 + ... + 1371878.

It is an arithmetic number, because the mean of its divisors is an integer number (646886331).

Almost surely, 268608504800 is an apocalyptic number.

68608504800 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 68608504800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139727447496).

68608504800 is an abundant number, since it is smaller than the sum of its proper divisors (210846390192).

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

68608504800 is a wasteful number, since it uses less digits than its factorization.

68608504800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51011 (or 50995 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 68608504800 in words is "sixty-eight billion, six hundred eight million, five hundred four thousand, eight hundred".