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53986540608 = 26337111323259
BaseRepresentation
bin110010010001110110…
…010011110001000000
312011100102012102021000
4302101312103301000
51341031023244413
640445010532000
73620560011060
oct622166236100
9164312172230
1053986540608
1120993aa4010
12a567b97000
13512495b0b0
142881d7d3a0
15160e85c073
hexc91d93c40

53986540608 has 1344 divisors, whose sum is σ = 226537113600. Its totient is φ = 12171202560.

The previous prime is 53986540571. The next prime is 53986540627. The reversal of 53986540608 is 80604568935.

It is a happy number.

53986540608 is a `hidden beast` number, since 5 + 3 + 98 + 6 + 540 + 6 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 915026083 + ... + 915026141.

It is an arithmetic number, because the mean of its divisors is an integer number (168554400).

Almost surely, 253986540608 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 53986540608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113268556800).

53986540608 is an abundant number, since it is smaller than the sum of its proper divisors (172550572992).

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

53986540608 is a wasteful number, since it uses less digits than its factorization.

53986540608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 53986540608 in words is "fifty-three billion, nine hundred eighty-six million, five hundred forty thousand, six hundred eight".