Search a number
-
+
7319945538 = 2342414332
BaseRepresentation
bin1101101000100110…
…11000000101000010
3200220010202202120000
412310103120011002
5104442401224123
63210203500430
7346252340043
oct66423300502
920803682500
107319945538
113116a11474
121503527716
138c8698429
144d62428ca
152cc967b43
hex1b44d8142

7319945538 has 60 divisors (see below), whose sum is σ = 16508283858. Its totient is φ = 2424245760.

The previous prime is 7319945533. The next prime is 7319945539. The reversal of 7319945538 is 8355499137.

7319945538 is a `hidden beast` number, since 7 + 3 + 19 + 94 + 5 + 538 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4249344969 + 3070600569 = 65187^2 + 55413^2 .

It is a super-2 number, since 2×73199455382 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (7319945533) 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 29 ways as a sum of consecutive naturals, for example, 16904970 + ... + 16905402.

Almost surely, 27319945538 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 7319945538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8254141929).

7319945538 is an abundant number, since it is smaller than the sum of its proper divisors (9188338320).

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

7319945538 is an equidigital number, since it uses as much as digits as its factorization.

7319945538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1121 (or 679 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The square root of 7319945538 is about 85556.6802651903. The cubic root of 7319945538 is about 1941.6425613034.

The spelling of 7319945538 in words is "seven billion, three hundred nineteen million, nine hundred forty-five thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 81 162 241 433 482 723 866 1299 1446 2169 2598 3897 4338 6507 7794 11691 13014 19521 23382 35073 39042 70146 104353 187489 208706 313059 374978 562467 626118 939177 1124934 1687401 1878354 2817531 3374802 5062203 5635062 8452593 10124406 15186609 16905186 30373218 45184849 90369698 135554547 271109094 406663641 813327282 1219990923 2439981846 3659972769 7319945538