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5642788881114 = 2337114353718387
BaseRepresentation
bin101001000011101000001…
…1011010100001011011010
3201222110000122210120002000
41102013100123110023122
51214422412423143424
620000132245021430
71121451366046530
oct122072033241332
921873018716060
105642788881114
111886103241820
1277173a6b4876
1331c16080a328
14157180766150
159bbadd163c9
hex521d06d42da

5642788881114 has 512 divisors, whose sum is σ = 16530646302720. Its totient is φ = 1384615814400.

The previous prime is 5642788881113. The next prime is 5642788881131. The reversal of 5642788881114 is 4111888872465.

5642788881114 is a `hidden beast` number, since 56 + 427 + 8 + 88 + 81 + 1 + 1 + 4 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (5642788881113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 672797629 + ... + 672806015.

It is an arithmetic number, because the mean of its divisors is an integer number (32286418560).

Almost surely, 25642788881114 is an apocalyptic number.

5642788881114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5642788881114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8265323151360).

5642788881114 is an abundant number, since it is smaller than the sum of its proper divisors (10887857421606).

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

5642788881114 is a wasteful number, since it uses less digits than its factorization.

5642788881114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8583 (or 8577 counting only the distinct ones).

The product of its digits is 27525120, while the sum is 63.

The spelling of 5642788881114 in words is "five trillion, six hundred forty-two billion, seven hundred eighty-eight million, eight hundred eighty-one thousand, one hundred fourteen".