Search a number
-
+
7068445655040 = 21433574113
BaseRepresentation
bin110011011011100000000…
…1100010100000000000000
3221000201220010112111211000
41212313000030110000000
51411302134041430130
623011111001252000
71326451446510000
oct146670014240000
927021803474730
107068445655040
112285790331000
12961ab4194000
133c3722a33a23
141a6186640000
15c3cee62d260
hex66dc0314000

7068445655040 has 2400 divisors, whose sum is σ = 32247949749120. Its totient is φ = 1468767928320.

The previous prime is 7068445654997. The next prime is 7068445655041. The reversal of 7068445655040 is 405565448607.

7068445655040 is a `hidden beast` number, since 7 + 0 + 6 + 8 + 4 + 45 + 6 + 550 + 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 (7068445655041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 642585968635 + ... + 642585968645.

Almost surely, 27068445655040 is an apocalyptic number.

7068445655040 is a gapful number since it is divisible by the number (70) 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 7068445655040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16123974874560).

7068445655040 is an abundant number, since it is smaller than the sum of its proper divisors (25179504094080).

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

7068445655040 is an frugal number, since it uses more digits than its factorization.

7068445655040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 16128000, while the sum is 54.

The spelling of 7068445655040 in words is "seven trillion, sixty-eight billion, four hundred forty-five million, six hundred fifty-five thousand, forty".