Search a number
-
+
194252629081 = 727927972
BaseRepresentation
bin1011010011101001011…
…0111110010001011001
3200120101210120222202211
42310322112332101121
511140312133112311
6225123255555121
720014522050400
oct2647226762131
9616353528684
10194252629081
11754225aa385
123179298baa1
13154196a6694
14958aa74637
1550bdade821
hex2d3a5be459

194252629081 has 27 divisors (see below), whose sum is σ = 229151414079. Its totient is φ = 164188363248.

The previous prime is 194252629049. The next prime is 194252629111. The reversal of 194252629081 is 180926252491.

The square root of 194252629081 is 440741.

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., 94196817225 + 100055811856 = 306915^2 + 316316^2 .

It is not a de Polignac number, because 194252629081 - 25 = 194252629049 is a prime.

It is a super-2 number, since 2×1942526290812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (194252629481) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 243729375 + ... + 243730171.

Almost surely, 2194252629081 is an apocalyptic number.

194252629081 is the 440741-st square number.

194252629081 is the 220371-st centered octagonal number.

It is an amenable number.

194252629081 is a deficient number, since it is larger than the sum of its proper divisors (34898784998).

194252629081 is an frugal number, since it uses more digits than its factorization.

194252629081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 883 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 49.

Multiplying 194252629081 by its sum of digits (49), we get a square (9518378824969 = 30851872).

194252629081 divided by its sum of digits (49) gives a square (3964339369 = 629632).

The spelling of 194252629081 in words is "one hundred ninety-four billion, two hundred fifty-two million, six hundred twenty-nine thousand, eighty-one".

Divisors: 1 7 49 79 553 797 3871 5579 6241 39053 43687 62963 305809 440741 635209 3085187 4446463 4974077 31125241 34818539 50181511 243729773 351270577 2458894039 3964339369 27750375583 194252629081