Search a number
-
+
19079896900 = 22521927272
BaseRepresentation
bin10001110001010000…
…000001111101000100
31211020201012012002011
4101301100001331010
5303033423200100
612433140224004
71243550306401
oct216120017504
954221165064
1019079896900
118101116a39
12384599b004
131a50b92c2c
14cd00152a8
1576a0bcbba
hex471401f44

19079896900 has 81 divisors (see below), whose sum is σ = 43757380989. Its totient is φ = 7220331360.

The previous prime is 19079896889. The next prime is 19079896903. The reversal of 19079896900 is 969897091.

The square root of 19079896900 is 138130.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6868762884 + 12211134016 = 82878^2 + 110504^2 .

It is a super-2 number, since 2×190798969002 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (19079896903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26244337 + ... + 26245063.

Almost surely, 219079896900 is an apocalyptic number.

19079896900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

19079896900 is the 138130-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19079896900

19079896900 is an abundant number, since it is smaller than the sum of its proper divisors (24677484089).

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

19079896900 is an equidigital number, since it uses as much as digits as its factorization.

19079896900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1506 (or 753 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 58.

The spelling of 19079896900 in words is "nineteen billion, seventy-nine million, eight hundred ninety-six thousand, nine hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 727 950 1444 1454 1805 1900 2908 3610 3635 7220 7270 9025 13813 14540 18050 18175 27626 36100 36350 55252 69065 72700 138130 262447 276260 345325 524894 528529 690650 1049788 1057058 1312235 1381300 2114116 2624470 2642645 5248940 5285290 6561175 10042051 10570580 13122350 13213225 20084102 26244700 26426450 40168204 50210255 52852900 100420510 190798969 200841020 251051275 381597938 502102550 763195876 953994845 1004205100 1907989690 3815979380 4769974225 9539948450 19079896900