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28803947404032 = 283317710334511
BaseRepresentation
bin1101000110010011100010…
…00011011001101100000000
310202222122000121201112212000
412203021301003121230000
512233410441013412112
6141132203433104000
76032005445150553
oct643116103315400
9122878017645760
1028803947404032
1191a575a435049
123292493858000
13130c27b8bc098
1471819320469a
1534e3cb9247dc
hex1a32710d9b00

28803947404032 has 288 divisors, whose sum is σ = 90204141404160. Its totient is φ = 9034998497280.

The previous prime is 28803947404031. The next prime is 28803947404087. The reversal of 28803947404032 is 23040474930882.

28803947404032 is a `hidden beast` number, since 2 + 8 + 80 + 3 + 94 + 74 + 0 + 403 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 28803947404032.

It is not an unprimeable number, because it can be changed into a prime (28803947404031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 834613657 + ... + 834648167.

It is an arithmetic number, because the mean of its divisors is an integer number (313208824320).

Almost surely, 228803947404032 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 28803947404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45102070702080).

28803947404032 is an abundant number, since it is smaller than the sum of its proper divisors (61400194000128).

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

28803947404032 is a wasteful number, since it uses less digits than its factorization.

28803947404032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41656 (or 41636 counting only the distinct ones).

The product of its (nonzero) digits is 9289728, while the sum is 54.

The spelling of 28803947404032 in words is "twenty-eight trillion, eight hundred three billion, nine hundred forty-seven million, four hundred four thousand, thirty-two".