Search a number
-
+
11275835046 = 2374314534297
BaseRepresentation
bin10101000000001011…
…11001011010100110
31002002211110202210020
422200011321122212
5141043103210141
65102520140010
7546266005440
oct124005713246
932084422706
1011275835046
114866a07843
122228307606
1310a9114358
1478d793490
1545edc8266
hex2a01796a6

11275835046 has 64 divisors (see below), whose sum is σ = 26397009408. Its totient is φ = 3143847168.

The previous prime is 11275835041. The next prime is 11275835059. The reversal of 11275835046 is 64053857211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 11275834989 and 11275835007.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11275835041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2621970 + ... + 2626266.

It is an arithmetic number, because the mean of its divisors is an integer number (412453272).

Almost surely, 211275835046 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11275835046, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13198504704).

11275835046 is an abundant number, since it is smaller than the sum of its proper divisors (15121174362).

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

11275835046 is a wasteful number, since it uses less digits than its factorization.

11275835046 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5805.

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 11275835046 in words is "eleven billion, two hundred seventy-five million, eight hundred thirty-five thousand, forty-six".

Divisors: 1 2 3 6 7 14 21 42 43 86 129 258 301 602 903 1453 1806 2906 4297 4359 8594 8718 10171 12891 20342 25782 30079 30513 60158 61026 62479 90237 124958 180474 184771 187437 369542 374874 437353 554313 874706 1108626 1293397 1312059 2586794 2624118 3880191 6243541 7760382 12487082 18730623 37461246 43704787 87409574 131114361 262228722 268472263 536944526 805416789 1610833578 1879305841 3758611682 5637917523 11275835046