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11831393556 = 223219167103577
BaseRepresentation
bin10110000010011010…
…01011110100010100
31010112112212001210100
423001031023310110
5143212314043211
65234003454100
7566123120523
oct130115136424
933475761710
1011831393556
115021571104
122362387330
13116724c8b8
1480348c4ba
15493a68156
hex2c134bd14

11831393556 has 72 divisors (see below), whose sum is σ = 31670009280. Its totient is φ = 3713821056.

The previous prime is 11831393551. The next prime is 11831393599. The reversal of 11831393556 is 65539313811.

11831393556 is a `hidden beast` number, since 1 + 1 + 8 + 3 + 1 + 3 + 93 + 556 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11831393551) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 62440 + ... + 166016.

It is an arithmetic number, because the mean of its divisors is an integer number (439861240).

Almost surely, 211831393556 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11831393556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15835004640).

11831393556 is an abundant number, since it is smaller than the sum of its proper divisors (19838615724).

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

11831393556 is a wasteful number, since it uses less digits than its factorization.

11831393556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103773 (or 103768 counting only the distinct ones).

The product of its digits is 291600, while the sum is 45.

The spelling of 11831393556 in words is "eleven billion, eight hundred thirty-one million, three hundred ninety-three thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 167 171 228 334 342 501 668 684 1002 1503 2004 3006 3173 6012 6346 9519 12692 19038 28557 38076 57114 103577 114228 207154 310731 414308 621462 932193 1242924 1864386 1967963 3728772 3935926 5903889 7871852 11807778 17297359 17711667 23615556 34594718 35423334 51892077 69189436 70846668 103784154 155676231 207568308 311352462 328649821 622704924 657299642 985949463 1314599284 1971898926 2957848389 3943797852 5915696778 11831393556