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53736027345 = 355711131723113
BaseRepresentation
bin110010000010111010…
…101011010011010001
312010200221211000200000
4302002322223103101
51340022410333340
640404101320213
73611425460520
oct620272532321
9163627730600
1053736027345
112087564a760
12a4b8106069
1350b4a98bb0
14285a9ac4b7
1515e7875d30
hexc82eab4d1

53736027345 has 768 divisors, whose sum is σ = 144557457408. Its totient is φ = 18393661440.

The previous prime is 53736027343. The next prime is 53736027361. The reversal of 53736027345 is 54372063735.

53736027345 is a `hidden beast` number, since 5 + 3 + 7 + 3 + 602 + 7 + 34 + 5 = 666.

It is not a de Polignac number, because 53736027345 - 21 = 53736027343 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 53736027345.

It is not an unprimeable number, because it can be changed into a prime (53736027343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 475540009 + ... + 475540121.

It is an arithmetic number, because the mean of its divisors is an integer number (188225856).

Almost surely, 253736027345 is an apocalyptic number.

53736027345 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

53736027345 is an abundant number, since it is smaller than the sum of its proper divisors (90821430063).

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

53736027345 is a wasteful number, since it uses less digits than its factorization.

53736027345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 192 counting only the distinct ones).

The product of its (nonzero) digits is 1587600, while the sum is 45.

The spelling of 53736027345 in words is "fifty-three billion, seven hundred thirty-six million, twenty-seven thousand, three hundred forty-five".