Search a number
-
+
105278237648 = 2465376113241
BaseRepresentation
bin110001000001100010…
…0100110101111010000
3101001202000120121002222
41202003010212233100
53211102212101043
6120210354000212
710414615153313
oct1420304465720
9331660517088
10105278237648
1140714903181
12184a1576068
139c0a1b979c
14514a06c97a
152b12801d68
hex1883126bd0

105278237648 has 40 divisors (see below), whose sum is σ = 204572850696. Its totient is φ = 52485478400.

The previous prime is 105278237633. The next prime is 105278237651. The reversal of 105278237648 is 846732872501.

It can be written as a sum of positive squares in 4 ways, for example, as 6073396624 + 99204841024 = 77932^2 + 314968^2 .

It is a super-2 number, since 2×1052782376482 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105278237648.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7944308 + ... + 7957548.

Almost surely, 2105278237648 is an apocalyptic number.

It is an amenable number.

105278237648 is a deficient number, since it is larger than the sum of its proper divisors (99294613048).

105278237648 is a wasteful number, since it uses less digits than its factorization.

105278237648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14663 (or 14657 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 105278237648 in words is "one hundred five billion, two hundred seventy-eight million, two hundred thirty-seven thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 653 761 1306 1522 2612 3044 5224 6088 10448 12176 13241 26482 52964 105928 211856 496933 993866 1987732 3975464 7950928 8646373 10076401 17292746 20152802 34585492 40305604 69170984 80611208 138341968 161222416 6579889853 13159779706 26319559412 52639118824 105278237648