Search a number
-
+
1009803627220 = 22567788184653
BaseRepresentation
bin11101011000111001111…
…11001000101011010100
310120112110221200021210111
432230130333020223110
5113021034212032340
62051521500132404
7132645606131413
oct16543477105324
93515427607714
101009803627220
1135a289905153
12143859237104
13742bb39b9ab
1436c3648d47a
151b402284aea
hexeb1cfc8ad4

1009803627220 has 48 divisors (see below), whose sum is σ = 2126155642128. Its totient is φ = 402862254080.

The previous prime is 1009803627211. The next prime is 1009803627221. The reversal of 1009803627220 is 227263089001.

It can be written as a sum of positive squares in 8 ways, for example, as 31104965956 + 978698661264 = 176366^2 + 989292^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1009803627221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11886414 + ... + 11971066.

It is an arithmetic number, because the mean of its divisors is an integer number (44294909211).

Almost surely, 21009803627220 is an apocalyptic number.

1009803627220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1009803627220 is an abundant number, since it is smaller than the sum of its proper divisors (1116352014908).

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

1009803627220 is a wasteful number, since it uses less digits than its factorization.

1009803627220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86220 (or 86218 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 40.

The spelling of 1009803627220 in words is "one trillion, nine billion, eight hundred three million, six hundred twenty-seven thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 677 881 1354 1762 2708 3385 3524 4405 6770 8810 13540 17620 84653 169306 338612 423265 596437 846530 1192874 1693060 2385748 2982185 5964370 11928740 57310081 74579293 114620162 149158586 229240324 286550405 298317172 372896465 573100810 745792930 1146201620 1491585860 50490181361 100980362722 201960725444 252450906805 504901813610 1009803627220