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11251204432 = 2413254921221
BaseRepresentation
bin10100111101001111…
…11100000101010000
31002001010010101221021
422132213330011100
5141020302020212
65100240205224
7545546442166
oct123647740520
932033111837
1011251204432
114854014466
122220009814
1310a3c9c320
1478a3c1236
1545cb60307
hex29e9fc150

11251204432 has 40 divisors (see below), whose sum is σ = 23486387400. Its totient is φ = 5190581760.

The previous prime is 11251204429. The next prime is 11251204457. The reversal of 11251204432 is 23440215211.

11251204432 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 5198986816 + 6052217616 = 72104^2 + 77796^2 .

It is a junction number, because it is equal to n+sod(n) for n = 11251204397 and 11251204406.

It is a congruent number.

It is an unprimeable number.

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, 519582 + ... + 540802.

It is an arithmetic number, because the mean of its divisors is an integer number (587159685).

Almost surely, 211251204432 is an apocalyptic number.

It is an amenable number.

11251204432 is an abundant number, since it is smaller than the sum of its proper divisors (12235182968).

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

11251204432 is a wasteful number, since it uses less digits than its factorization.

11251204432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23791 (or 23785 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 11251204432 its reverse (23440215211), we get a palindrome (34691419643).

The spelling of 11251204432 in words is "eleven billion, two hundred fifty-one million, two hundred four thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 16 26 52 104 208 2549 5098 10196 20392 21221 33137 40784 42442 66274 84884 132548 169768 265096 275873 339536 530192 551746 1103492 2206984 4413968 54092329 108184658 216369316 432738632 703200277 865477264 1406400554 2812801108 5625602216 11251204432