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11452412240 = 245272952457
BaseRepresentation
bin10101010101001110…
…11111000101010000
31002120010201211011022
422222213133011100
5141423304142430
65132224535012
7553541616653
oct125247370520
932503654138
1011452412240
114947651905
122277481468
13110688a2b9
147a8dd989a
154706574e5
hex2aa9df150

11452412240 has 40 divisors (see below), whose sum is σ = 26637123240. Its totient is φ = 4579198976.

The previous prime is 11452412233. The next prime is 11452412249. The reversal of 11452412240 is 4221425411.

11452412240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 8044654864 + 3407757376 = 89692^2 + 58376^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-2 number, since 2×114524122402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11452412249) 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 7 ways as a sum of consecutive naturals, for example, 192092 + ... + 244548.

It is an arithmetic number, because the mean of its divisors is an integer number (665928081).

Almost surely, 211452412240 is an apocalyptic number.

11452412240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11452412240 is an abundant number, since it is smaller than the sum of its proper divisors (15184711000).

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

11452412240 is a wasteful number, since it uses less digits than its factorization.

11452412240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55199 (or 55193 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 11452412240 its reverse (4221425411), we get a palindrome (15673837651).

The spelling of 11452412240 in words is "eleven billion, four hundred fifty-two million, four hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 2729 5458 10916 13645 21832 27290 43664 52457 54580 104914 109160 209828 218320 262285 419656 524570 839312 1049140 2098280 4196560 143155153 286310306 572620612 715775765 1145241224 1431551530 2290482448 2863103060 5726206120 11452412240