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825780597468 = 223467147355567
BaseRepresentation
bin11000000010001000101…
…10111111001011011100
32220221111001212210012220
430001010112333023130
5102012144313104333
61431205224025340
7113442420156531
oct14010426771334
92827431783186
10825780597468
1129923668a1a2
12114060302250
135cb42131588
142bd7a266d88
15167317a78b3
hexc0445bf2dc

825780597468 has 24 divisors (see below), whose sum is σ = 1930947363072. Its totient is φ = 274670775024.

The previous prime is 825780597449. The next prime is 825780597479. The reversal of 825780597468 is 864795087528.

It is a super-3 number, since 3×8257805974683 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 73672180 + ... + 73683387.

It is an arithmetic number, because the mean of its divisors is an integer number (80456140128).

Almost surely, 2825780597468 is an apocalyptic number.

It is an amenable number.

825780597468 is an abundant number, since it is smaller than the sum of its proper divisors (1105166765604).

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

825780597468 is a wasteful number, since it uses less digits than its factorization.

825780597468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147356041 (or 147356039 counting only the distinct ones).

The product of its (nonzero) digits is 270950400, while the sum is 69.

The spelling of 825780597468 in words is "eight hundred twenty-five billion, seven hundred eighty million, five hundred ninety-seven thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 12 467 934 1401 1868 2802 5604 147355567 294711134 442066701 589422268 884133402 1768266804 68815049789 137630099578 206445149367 275260199156 412890298734 825780597468