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825051609063 = 321112136870449
BaseRepresentation
bin11000000000110001110…
…10000111011111100111
32220212121021011100010100
430000120322013133213
5102004201202442223
61431005023155143
7113415355652103
oct14003072073747
92825537140110
10825051609063
112989a2140440
12113a98145ab3
135ca570b27a6
142bd0b504903
15166dc7ab043
hexc018e877e7

825051609063 has 24 divisors (see below), whose sum is σ = 1301153302800. Its totient is φ = 499618978560.

The previous prime is 825051609017. The next prime is 825051609071. The reversal of 825051609063 is 360906150528.

825051609063 is a `hidden beast` number, since 82 + 50 + 516 + 0 + 9 + 0 + 6 + 3 = 666.

825051609063 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 825051609063 - 214 = 825051592679 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (825051609073) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3315138 + ... + 3555311.

It is an arithmetic number, because the mean of its divisors is an integer number (54214720950).

Almost surely, 2825051609063 is an apocalyptic number.

825051609063 is a deficient number, since it is larger than the sum of its proper divisors (476101693737).

825051609063 is a wasteful number, since it uses less digits than its factorization.

825051609063 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6871679 (or 6871676 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 825051609063 in words is "eight hundred twenty-five billion, fifty-one million, six hundred nine thousand, sixty-three".

Divisors: 1 3 9 11 33 99 1213 3639 10917 13343 40029 120087 6870449 20611347 61834041 75574939 226724817 680174451 8333854637 25001563911 75004691733 91672401007 275017203021 825051609063