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11364272028 = 223343256909
BaseRepresentation
bin10101001010101110…
…10000011110011100
31002022222212211112000
422211113100132130
5141233223201103
65115355442300
7551421501264
oct124527203634
932288784460
1011364272028
11490192085a
122251a56390
1310c1539a25
1479b4147a4
15467a46aa3
hex2a55d079c

11364272028 has 72 divisors (see below), whose sum is σ = 30164576400. Its totient is φ = 3699930528.

The previous prime is 11364271981. The next prime is 11364272033. The reversal of 11364272028 is 82027246311.

It is a happy number.

11364272028 is a `hidden beast` number, since 1 + 1 + 3 + 642 + 7 + 2 + 0 + 2 + 8 = 666.

11364272028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 = 11364271983 and 11364272001.

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 23 ways as a sum of consecutive naturals, for example, 171238 + ... + 228146.

It is an arithmetic number, because the mean of its divisors is an integer number (418952450).

Almost surely, 211364272028 is an apocalyptic number.

11364272028 is a gapful number since it is divisible by the number (18) 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 11364272028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15082288200).

11364272028 is an abundant number, since it is smaller than the sum of its proper divisors (18800304372).

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

11364272028 is a wasteful number, since it uses less digits than its factorization.

11364272028 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57008 (or 56957 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 11364272028 in words is "eleven billion, three hundred sixty-four million, two hundred seventy-two thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 54 86 108 129 172 258 387 516 774 1161 1548 1849 2322 3698 4644 5547 7396 11094 16641 22188 33282 49923 56909 66564 99846 113818 170727 199692 227636 341454 512181 682908 1024362 1536543 2048724 2447087 3073086 4894174 6146172 7341261 9788348 14682522 22023783 29365044 44047566 66071349 88095132 105224741 132142698 210449482 264285396 315674223 420898964 631348446 947022669 1262696892 1894045338 2841068007 3788090676 5682136014 11364272028