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53566949005032 = 233171947213123879
BaseRepresentation
bin11000010111000000001101…
…11101111001011011101000
321000122221122210000002102110
430023200012331321123220
524010120102421130112
6305532152221402320
714166040634621301
oct1413400675713350
9230587583002373
1053566949005032
1116082685253691
126011772a093a0
1323b74596ba808
14d3292305b7a8
1562d5ec82e13c
hex30b806f796e8

53566949005032 has 384 divisors, whose sum is σ = 153671582592000. Its totient is φ = 15462491166720.

The previous prime is 53566949004977. The next prime is 53566949005039. The reversal of 53566949005032 is 23050094966535.

53566949005032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×535669490050322 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (53566949005039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2243254069 + ... + 2243277947.

It is an arithmetic number, because the mean of its divisors is an integer number (400186413000).

Almost surely, 253566949005032 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 53566949005032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76835791296000).

53566949005032 is an abundant number, since it is smaller than the sum of its proper divisors (100104633586968).

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

53566949005032 is a wasteful number, since it uses less digits than its factorization.

53566949005032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24149 (or 24098 counting only the distinct ones).

The product of its (nonzero) digits is 26244000, while the sum is 57.

The spelling of 53566949005032 in words is "fifty-three trillion, five hundred sixty-six billion, nine hundred forty-nine million, five thousand, thirty-two".