Search a number
-
+
10353506449 = 1121331673169
BaseRepresentation
bin10011010010001110…
…11111100010010001
3222201112221121210211
421221013133202101
5132200444201244
64431211324121
7514366231666
oct115107374221
928645847724
1010353506449
114433314700
12200b450641
13c900006a0
147030a3a6d
15408e3a934
hex2691df891

10353506449 has 48 divisors (see below), whose sum is σ = 12843927040. Its totient is φ = 8279884800.

The previous prime is 10353506441. The next prime is 10353506459. The reversal of 10353506449 is 94460535301.

10353506449 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10353506449 - 23 = 10353506441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10353506441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3265537 + ... + 3268705.

Almost surely, 210353506449 is an apocalyptic number.

It is an amenable number.

10353506449 is a deficient number, since it is larger than the sum of its proper divisors (2490420591).

10353506449 is a wasteful number, since it uses less digits than its factorization.

10353506449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3302 (or 3291 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 10353506449 in words is "ten billion, three hundred fifty-three million, five hundred six thousand, four hundred forty-nine".

Divisors: 1 11 13 31 67 121 143 341 403 737 871 1573 2077 3169 3751 4433 8107 9581 22847 27001 34859 41197 48763 98239 105391 212323 251317 297011 383449 453167 1080629 1277107 2335553 2760199 3267121 4984837 6582013 11886919 14048177 25691083 30362189 72402143 85566169 154529947 333984079 796423573 941227859 10353506449