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28702445041152 = 293271139631151
BaseRepresentation
bin1101000011010110011110…
…00010100111011000000000
310202121221000202010021011200
412201223033002213120000
512230230101412304102
6141013415441141200
76021453226253421
oct641531702473000
9122557022107150
1028702445041152
119166702a55533
12327688692a800
131302823a70a2c
147132c4827648
1534b93a87551c
hex1a1acf0a7600

28702445041152 has 240 divisors, whose sum is σ = 84608399715840. Its totient is φ = 9364852224000.

The previous prime is 28702445041111. The next prime is 28702445041157. The reversal of 28702445041152 is 25114054420782.

28702445041152 is a `hidden beast` number, since 2 + 8 + 7 + 0 + 2 + 4 + 450 + 41 + 152 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 28702445041098 and 28702445041107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28702445041157) 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 23 ways as a sum of consecutive naturals, for example, 45160777 + ... + 45791927.

It is an arithmetic number, because the mean of its divisors is an integer number (352534998816).

Almost surely, 228702445041152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 28702445041152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42304199857920).

28702445041152 is an abundant number, since it is smaller than the sum of its proper divisors (55905954674688).

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

28702445041152 is a wasteful number, since it uses less digits than its factorization.

28702445041152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631385 (or 631366 counting only the distinct ones).

The product of its (nonzero) digits is 716800, while the sum is 45.

The spelling of 28702445041152 in words is "twenty-eight trillion, seven hundred two billion, four hundred forty-five million, forty-one thousand, one hundred fifty-two".