Search a number
-
+
19540125796 = 2237218892
BaseRepresentation
bin10010001100101011…
…101010100001100100
31212102210012020102211
4102030223222201210
5310004233011141
612550540413204
71261136220532
oct221453524144
955383166384
1019540125796
1183179897a4
123953b47204
131ac5331719
14d351b7152
157956cbd81
hex48caea864

19540125796 has 27 divisors (see below), whose sum is σ = 35163008139. Its totient is φ = 9500974848.

The previous prime is 19540125793. The next prime is 19540125797. The reversal of 19540125796 is 69752104591.

It is a happy number.

The square root of 19540125796 is 139786.

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

It can be written as a sum of positive squares in 4 ways, for example, as 3496356900 + 16043768896 = 59130^2 + 126664^2 .

It is a super-2 number, since 2×195401257962 (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 (19540125793) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10343220 + ... + 10345108.

Almost surely, 219540125796 is an apocalyptic number.

19540125796 is the 139786-th square number.

It is an amenable number.

19540125796 is a deficient number, since it is larger than the sum of its proper divisors (15622882343).

19540125796 is an frugal number, since it uses more digits than its factorization.

19540125796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3856 (or 1928 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 49.

Multiplying 19540125796 by its sum of digits (49), we get a square (957466164004 = 9785022).

The spelling of 19540125796 in words is "nineteen billion, five hundred forty million, one hundred twenty-five thousand, seven hundred ninety-six".

Divisors: 1 2 4 37 74 148 1369 1889 2738 3778 5476 7556 69893 139786 279572 2586041 3568321 5172082 7136642 10344164 14273284 132027877 264055754 528111508 4885031449 9770062898 19540125796