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28064778225120 = 25345713217294779
BaseRepresentation
bin1100110000110010101110…
…01000110000010111100000
310200100222002122111200220000
412120121113020300113200
512134303131211200440
6135404440420220000
75624420236615260
oct630312710602740
9120328078450800
1028064778225120
118a4022972a60a
12319318553a600
131287660554400
146d04b1c017a0
1533a068c99730
hex1986572305e0

28064778225120 has 5760 divisors, whose sum is σ = 138849151795200. Its totient is φ = 5199720873984.

The previous prime is 28064778225109. The next prime is 28064778225131. The reversal of 28064778225120 is 2152287746082.

It is a happy number.

28064778225120 is a `hidden beast` number, since 2 + 8 + 0 + 6 + 47 + 7 + 82 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (28064778225109) and next prime (28064778225131).

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

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 355250357241 + ... + 355250357319.

It is an arithmetic number, because the mean of its divisors is an integer number (24105755520).

Almost surely, 228064778225120 is an apocalyptic number.

28064778225120 is a gapful number since it is divisible by the number (20) 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 28064778225120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69424575897600).

28064778225120 is an abundant number, since it is smaller than the sum of its proper divisors (110784373570080).

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

28064778225120 is a wasteful number, since it uses less digits than its factorization.

28064778225120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 28064778225120 in words is "twenty-eight trillion, sixty-four billion, seven hundred seventy-eight million, two hundred twenty-five thousand, one hundred twenty".