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11335944672 = 2532133027763
BaseRepresentation
bin10101000111010110…
…01100100111100000
31002021000120122200200
422203223030213200
5141204000212142
65112504345200
7550625640243
oct124353144740
932230518620
1011335944672
114897933018
122244475200
1310b86cc190
1479775d25a
154652ed64c
hex2a3acc9e0

11335944672 has 72 divisors (see below), whose sum is σ = 34716342024. Its totient is φ = 3487981824.

The previous prime is 11335944661. The next prime is 11335944679. The reversal of 11335944672 is 27644953311.

11335944672 is a `hidden beast` number, since 1 + 13 + 3 + 594 + 46 + 7 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11335944679) 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, 1510138 + ... + 1517625.

It is an arithmetic number, because the mean of its divisors is an integer number (482171417).

Almost surely, 211335944672 is an apocalyptic number.

11335944672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11335944672 is an abundant number, since it is smaller than the sum of its proper divisors (23380397352).

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

11335944672 is a wasteful number, since it uses less digits than its factorization.

11335944672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3027792 (or 3027781 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The spelling of 11335944672 in words is "eleven billion, three hundred thirty-five million, nine hundred forty-four thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 3027763 6055526 9083289 12111052 18166578 24222104 27249867 36333156 39360919 48444208 54499734 72666312 78721838 96888416 108999468 118082757 145332624 157443676 217998936 236165514 290665248 314887352 354248271 435997872 472331028 629774704 708496542 871995744 944662056 1259549408 1416993084 1889324112 2833986168 3778648224 5667972336 11335944672