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11154049344 = 263241472309
BaseRepresentation
bin10100110001101010…
…10100100101000000
31001210100022102012200
422120311110211000
5140320414034334
65042445553200
7543256566204
oct123065244500
931710272180
1011154049344
1148041963a9
1221b3575800
131089b136c9
1477b530b04
1545436d799
hex298d54940

11154049344 has 84 divisors (see below), whose sum is σ = 32750920020. Its totient is φ = 3627325440.

The previous prime is 11154049337. The next prime is 11154049349. The reversal of 11154049344 is 44394045111.

11154049344 is a `hidden beast` number, since 11 + 154 + 0 + 493 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4318066944 + 6835982400 = 65712^2 + 82680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11154049299 and 11154049308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11154049349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212539 + ... + 259770.

It is an arithmetic number, because the mean of its divisors is an integer number (389891905).

Almost surely, 211154049344 is an apocalyptic number.

It is an amenable number.

11154049344 is an abundant number, since it is smaller than the sum of its proper divisors (21596870676).

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

11154049344 is a wasteful number, since it uses less digits than its factorization.

11154049344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472368 (or 472355 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11154049344 in words is "eleven billion, one hundred fifty-four million, forty-nine thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 41 48 64 72 82 96 123 144 164 192 246 288 328 369 492 576 656 738 984 1312 1476 1968 2624 2952 3936 5904 7872 11808 23616 472309 944618 1416927 1889236 2833854 3778472 4250781 5667708 7556944 8501562 11335416 15113888 17003124 19364669 22670832 30227776 34006248 38729338 45341664 58094007 68012496 77458676 90683328 116188014 136024992 154917352 174282021 232376028 272049984 309834704 348564042 464752056 619669408 697128084 929504112 1239338816 1394256168 1859008224 2788512336 3718016448 5577024672 11154049344