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11293333056 = 2632137143113
BaseRepresentation
bin10101000010010001…
…01001011001000000
31002011001101202112200
422201020221121000
5141112043124211
65104343153200
7546600514155
oct124110513100
932131352480
1011293333056
114875879305
122232145800
1310ac92c9c5
14791c2a22c
154616d2b56
hex2a1229640

11293333056 has 84 divisors (see below), whose sum is σ = 32606807532. Its totient is φ = 3736940544.

The previous prime is 11293333039. The next prime is 11293333067. The reversal of 11293333056 is 65033339211.

11293333056 is a `hidden beast` number, since 1 + 12 + 9 + 333 + 305 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2035814400 + 9257518656 = 45120^2 + 96216^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 11293333056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7356 + ... + 150468.

Almost surely, 211293333056 is an apocalyptic number.

11293333056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11293333056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16303403766).

11293333056 is an abundant number, since it is smaller than the sum of its proper divisors (21313474476).

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

11293333056 is a wasteful number, since it uses less digits than its factorization.

11293333056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143268 (or 143255 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 36.

The spelling of 11293333056 in words is "eleven billion, two hundred ninety-three million, three hundred thirty-three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 137 144 192 274 288 411 548 576 822 1096 1233 1644 2192 2466 3288 4384 4932 6576 8768 9864 13152 19728 26304 39456 78912 143113 286226 429339 572452 858678 1144904 1288017 1717356 2289808 2576034 3434712 4579616 5152068 6869424 9159232 10304136 13738848 19606481 20608272 27477696 39212962 41216544 58819443 78425924 82433088 117638886 156851848 176458329 235277772 313703696 352916658 470555544 627407392 705833316 941111088 1254814784 1411666632 1882222176 2823333264 3764444352 5646666528 11293333056