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5642055143424 = 21233717894817
BaseRepresentation
bin101001000011010010010…
…1100010101000000000000
3201222101010112010211012000
41102012210230111000000
51214414412104042144
615555531354304000
71121424246301560
oct122064454250000
921871115124160
105642055143424
111885867049837
12771574a28000
1331c0747b790b
14157111128da0
159bb696cc769
hex521a4b15000

5642055143424 has 832 divisors, whose sum is σ = 20458260979200. Its totient is φ = 1499832778752.

The previous prime is 5642055143369. The next prime is 5642055143429. The reversal of 5642055143424 is 4243415502465.

It is a happy number.

5642055143424 is a `hidden beast` number, since 5 + 6 + 4 + 205 + 5 + 1 + 434 + 2 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5642055143424.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5642055143429) 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 63 ways as a sum of consecutive naturals, for example, 1171277464 + ... + 1171282280.

Almost surely, 25642055143424 is an apocalyptic number.

5642055143424 is a gapful number since it is divisible by the number (54) 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 5642055143424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10229130489600).

5642055143424 is an abundant number, since it is smaller than the sum of its proper divisors (14816205835776).

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

5642055143424 is a wasteful number, since it uses less digits than its factorization.

5642055143424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4963 (or 4935 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 45.

The spelling of 5642055143424 in words is "five trillion, six hundred forty-two billion, fifty-five million, one hundred forty-three thousand, four hundred twenty-four".