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282697990002 = 236433447793
BaseRepresentation
bin1000001110100100001…
…11001111111101110010
31000000200201010212000000
410013102013033331302
514112431141140002
6333511503010430
726265343160451
oct4072207177562
91000621125000
10282697990002
11a998971108a
1246956b99a16
13208733b587c
14d97b2c8b98
15754872c61c
hex41d21cff72

282697990002 has 56 divisors (see below), whose sum is σ = 637249372284. Its totient is φ = 94014825984.

The previous prime is 282697989991. The next prime is 282697990049. The reversal of 282697990002 is 200099796282.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 280824745041 + 1873244961 = 529929^2 + 43281^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 407418 + ... + 855210.

Almost surely, 2282697990002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 282697990002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318624686142).

282697990002 is an abundant number, since it is smaller than the sum of its proper divisors (354551382282).

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

282697990002 is an equidigital number, since it uses as much as digits as its factorization.

282697990002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448246 (or 448231 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 282697990002 in words is "two hundred eighty-two billion, six hundred ninety-seven million, nine hundred ninety thousand, two".

Divisors: 1 2 3 6 9 18 27 54 81 162 243 433 486 729 866 1299 1458 2598 3897 7794 11691 23382 35073 70146 105219 210438 315657 447793 631314 895586 1343379 2686758 4030137 8060274 12090411 24180822 36271233 72542466 108813699 193894369 217627398 326441097 387788738 581683107 652882194 1163366214 1745049321 3490098642 5235147963 10470295926 15705443889 31410887778 47116331667 94232663334 141348995001 282697990002