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11216395872 = 2532113540529
BaseRepresentation
bin10100111001000110…
…01001111001100000
31001221200121221120100
422130203021321200
5140432344131442
65052554142400
7544644535413
oct123443117140
931850557510
1011216395872
1148363aa260
122210421a00
131099a02746
1478591db7a
15459a8684c
hex29c8c9e60

11216395872 has 72 divisors (see below), whose sum is σ = 34796328840. Its totient is φ = 3398906880.

The previous prime is 11216395867. The next prime is 11216395873. The reversal of 11216395872 is 27859361211.

11216395872 is a `hidden beast` number, since 1 + 1 + 2 + 1 + 63 + 9 + 587 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×112163958723 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11216395873) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1767097 + ... + 1773432.

It is an arithmetic number, because the mean of its divisors is an integer number (483282345).

Almost surely, 211216395872 is an apocalyptic number.

11216395872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11216395872 is an abundant number, since it is smaller than the sum of its proper divisors (23579932968).

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

11216395872 is a wasteful number, since it uses less digits than its factorization.

11216395872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3540556 (or 3540545 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The spelling of 11216395872 in words is "eleven billion, two hundred sixteen million, three hundred ninety-five thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 792 1056 1584 3168 3540529 7081058 10621587 14162116 21243174 28324232 31864761 38945819 42486348 56648464 63729522 77891638 84972696 113296928 116837457 127459044 155783276 169945392 233674914 254918088 311566552 339890784 350512371 467349828 509836176 623133104 701024742 934699656 1019672352 1246266208 1402049484 1869399312 2804098968 3738798624 5608197936 11216395872