Search a number
-
+
11402975466 = 2322388331193
BaseRepresentation
bin10101001111010101…
…11001100011101010
31002102200201011122200
422213222321203222
5141323130203331
65123301201030
7552401456301
oct124752714352
932380634580
1011402975466
114921756273
122262a00176
1310c956b37c
147a260b438
1546b13e5e6
hex2a7ab98ea

11402975466 has 48 divisors (see below), whose sum is σ = 25810664256. Its totient is φ = 3631497408.

The previous prime is 11402975429. The next prime is 11402975531. The reversal of 11402975466 is 66457920411.

11402975466 is a `hidden beast` number, since 1 + 14 + 0 + 2 + 97 + 546 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 349966 + ... + 381158.

It is an arithmetic number, because the mean of its divisors is an integer number (537722172).

Almost surely, 211402975466 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11402975466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12905332128).

11402975466 is an abundant number, since it is smaller than the sum of its proper divisors (14407688790).

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

11402975466 is a wasteful number, since it uses less digits than its factorization.

11402975466 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32107 (or 32104 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 11402975466 in words is "eleven billion, four hundred two million, nine hundred seventy-five thousand, four hundred sixty-six".

Divisors: 1 2 3 6 9 18 23 46 69 138 207 414 883 1766 2649 5298 7947 15894 20309 31193 40618 60927 62386 93579 121854 182781 187158 280737 365562 561474 717439 1434878 2152317 4304634 6456951 12913902 27543419 55086838 82630257 165260514 247890771 495781542 633498637 1266997274 1900495911 3800991822 5701487733 11402975466