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11600075268 = 2232322224313
BaseRepresentation
bin10101100110110101…
…10001101000000100
31002221102120212202100
422303122301220010
5142224104402033
65155021512100
7560314004265
oct126332615004
932842525670
1011600075268
114a12a38271
1222b8a12630
13112b34b582
147c087696c
1547d5c4513
hex2b36b1a04

11600075268 has 18 divisors (see below), whose sum is σ = 29322412574. Its totient is φ = 3866691744.

The previous prime is 11600075261. The next prime is 11600075327. The reversal of 11600075268 is 86257000611.

It can be written as a sum of positive squares in only one way, i.e., 10839308544 + 760766724 = 104112^2 + 27582^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 322224313 = 11600075268 / (1 + 1 + 6 + 0 + 0 + 0 + 7 + 5 + 2 + 6 + 8).

It is not an unprimeable number, because it can be changed into a prime (11600075261) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 161112121 + ... + 161112192.

Almost surely, 211600075268 is an apocalyptic number.

11600075268 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11600075268 is an abundant number, since it is smaller than the sum of its proper divisors (17722337306).

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

11600075268 is a wasteful number, since it uses less digits than its factorization.

11600075268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322224323 (or 322224318 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 11600075268 its reverse (86257000611), we get a palindrome (97857075879).

The spelling of 11600075268 in words is "eleven billion, six hundred million, seventy-five thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 322224313 644448626 966672939 1288897252 1933345878 2900018817 3866691756 5800037634 11600075268