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11933052120 = 23325114370079
BaseRepresentation
bin10110001110100001…
…11110110011011000
31010210122010212010100
423013100332303120
5143414330131440
65252034415400
7601466161263
oct130720766330
933718125110
1011933052120
115073995750
122390431560
1311823242b2
14812b91cda
1549c949230
hex2c743ecd8

11933052120 has 192 divisors, whose sum is σ = 43292620800. Its totient is φ = 2825544960.

The previous prime is 11933052083. The next prime is 11933052121. The reversal of 11933052120 is 2125033911.

11933052120 is a `hidden beast` number, since 1 + 1 + 93 + 30 + 521 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11933052121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135241 + ... + 205319.

It is an arithmetic number, because the mean of its divisors is an integer number (225482400).

Almost surely, 211933052120 is an apocalyptic number.

11933052120 is a gapful number since it is divisible by the number (10) 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 11933052120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21646310400).

11933052120 is an abundant number, since it is smaller than the sum of its proper divisors (31359568680).

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

11933052120 is a wasteful number, since it uses less digits than its factorization.

11933052120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70150 (or 70143 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

The spelling of 11933052120 in words is "eleven billion, nine hundred thirty-three million, fifty-two thousand, one hundred twenty".