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6642085142880 = 25335112329367571
BaseRepresentation
bin110000010100111101100…
…1000000010000101100000
3212111222101100000101012000
41200221323020002011200
51332310442244033010
622043155400004000
71253606030114565
oct140517310020540
925458340011160
106642085142880
11213098a9a4770
128b3344a60600
133924660580c5
1418d69b54086c
15b7b988bc7c0
hex60a7b202160

6642085142880 has 1536 divisors, whose sum is σ = 27498523852800. Its totient is φ = 1480434278400.

The previous prime is 6642085142867. The next prime is 6642085142893. The reversal of 6642085142880 is 882415802466.

6642085142880 is a `hidden beast` number, since 6 + 6 + 4 + 20 + 8 + 514 + 28 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (6642085142867) and next prime (6642085142893).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11632372995 + ... + 11632373565.

It is an arithmetic number, because the mean of its divisors is an integer number (17902684800).

Almost surely, 26642085142880 is an apocalyptic number.

6642085142880 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 6642085142880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13749261926400).

6642085142880 is an abundant number, since it is smaller than the sum of its proper divisors (20856438709920).

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

6642085142880 is a wasteful number, since it uses less digits than its factorization.

6642085142880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1011 counting only the distinct ones).

The product of its (nonzero) digits is 5898240, while the sum is 54.

The spelling of 6642085142880 in words is "six trillion, six hundred forty-two billion, eighty-five million, one hundred forty-two thousand, eight hundred eighty".