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20282829760 = 26566919473
BaseRepresentation
bin10010111000111100…
…110110101111000000
31221100112201111202001
4102320330312233000
5313014401023020
613152351233344
71315425131314
oct227074665700
957315644661
1020282829760
118669146226
123b20818854
131bb317331b
14da5aa9b44
157da9d750a
hex4b8f36bc0

20282829760 has 56 divisors (see below), whose sum is σ = 48310806096. Its totient is φ = 8111063040.

The previous prime is 20282829751. The next prime is 20282829781. The reversal of 20282829760 is 6792828202.

It is a happy number.

It is a super-2 number, since 2×202828297602 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20282829760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2136384 + ... + 2145856.

It is an arithmetic number, because the mean of its divisors is an integer number (862692966).

Almost surely, 220282829760 is an apocalyptic number.

20282829760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20282829760 is an abundant number, since it is smaller than the sum of its proper divisors (28027976336).

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

20282829760 is an equidigital number, since it uses as much as digits as its factorization.

20282829760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16181 (or 16171 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 46.

The spelling of 20282829760 in words is "twenty billion, two hundred eighty-two million, eight hundred twenty-nine thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 6691 9473 13382 18946 26764 33455 37892 47365 53528 66910 75784 94730 107056 133820 151568 189460 214112 267640 303136 378920 428224 535280 606272 757840 1070560 1515680 2141120 3031360 63383843 126767686 253535372 316919215 507070744 633838430 1014141488 1267676860 2028282976 2535353720 4056565952 5070707440 10141414880 20282829760