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11133894020 = 2252920299461
BaseRepresentation
bin10100101111010000…
…11011110110000100
31001201221101102022012
422113220123312010
5140300234102040
65040445553352
7542623352264
oct122750336604
931657342265
1011133894020
1147a387a407
1221a8875858
1310858a7692
147789a57a4
154526db865
hex297a1bd84

11133894020 has 48 divisors (see below), whose sum is σ = 24201903600. Its totient is φ = 4297413120.

The previous prime is 11133894017. The next prime is 11133894043. The reversal of 11133894020 is 2049833111.

11133894020 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 8 ways, for example, as 1870216516 + 9263677504 = 43246^2 + 96248^2 .

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 15 ways as a sum of consecutive naturals, for example, 1172090 + ... + 1181550.

It is an arithmetic number, because the mean of its divisors is an integer number (504206325).

Almost surely, 211133894020 is an apocalyptic number.

11133894020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11133894020 is an abundant number, since it is smaller than the sum of its proper divisors (13068009580).

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

11133894020 is a wasteful number, since it uses less digits than its factorization.

11133894020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11528 (or 11526 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 32.

The spelling of 11133894020 in words is "eleven billion, one hundred thirty-three million, eight hundred ninety-four thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 2029 4058 8116 9461 10145 18922 20290 37844 40580 47305 58841 94610 117682 189220 235364 274369 294205 548738 588410 1097476 1176820 1371845 2743690 5487380 19196369 38392738 76785476 95981845 191963690 383927380 556694701 1113389402 2226778804 2783473505 5566947010 11133894020