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199005240020 = 22523243372
BaseRepresentation
bin1011100101010110100…
…0101111101011010100
3201000200000110122100012
42321111220233223110
511230030320140040
6231231032535352
720243351426066
oct2712550575324
9630600418305
10199005240020
11774412a7314
123269a551558
13159c61c80c2
1498bbd39736
15529ae7a865
hex2e55a2fad4

199005240020 has 54 divisors (see below), whose sum is σ = 436971803982. Its totient is φ = 76123579136.

The previous prime is 199005239989. The next prime is 199005240029. The reversal of 199005240020 is 20042500991.

It can be written as a sum of positive squares in 3 ways, for example, as 24202647184 + 174802592836 = 155572^2 + 418094^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (199005240029) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 45883292 + ... + 45887628.

Almost surely, 2199005240020 is an apocalyptic number.

199005240020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 199005240020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218485901991).

199005240020 is an abundant number, since it is smaller than the sum of its proper divisors (237966563962).

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

199005240020 is an frugal number, since it uses more digits than its factorization.

199005240020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8729 (or 4367 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 32.

The spelling of 199005240020 in words is "one hundred ninety-nine billion, five million, two hundred forty thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 529 1058 2116 2645 4337 5290 8674 10580 17348 21685 43370 86740 99751 199502 399004 498755 997510 1995020 2294273 4588546 9177092 11471365 18809569 22942730 37619138 45885460 75238276 94047845 188095690 376191380 432620087 865240174 1730480348 2163100435 4326200870 8652401740 9950262001 19900524002 39801048004 49751310005 99502620010 199005240020