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53753488871040 = 27325722959791409
BaseRepresentation
bin11000011100011011101011…
…00111000000111010000000
321001022210011001200010021200
430032031311213000322000
524021144121122333130
6310154002322221200
714215363364413200
oct1416156547007200
9231283131603250
1053753488871040
11161447aa131a02
1260419527b4800
1323cbc1720075a
14d3b97b638400
156333b9260760
hex30e3759c0e80

53753488871040 has 2304 divisors, whose sum is σ = 230192539200000. Its totient is φ = 11505984602112.

The previous prime is 53753488871029. The next prime is 53753488871059. The reversal of 53753488871040 is 4017888435735.

It is a happy number.

53753488871040 is a `hidden beast` number, since 5 + 3 + 7 + 534 + 8 + 8 + 87 + 10 + 4 + 0 = 666.

It is a super-2 number, since 2×537534888710402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 38150097856 + ... + 38150099264.

It is an arithmetic number, because the mean of its divisors is an integer number (99909956250).

Almost surely, 253753488871040 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 53753488871040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115096269600000).

53753488871040 is an abundant number, since it is smaller than the sum of its proper divisors (176439050328960).

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

53753488871040 is a wasteful number, since it uses less digits than its factorization.

53753488871040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1615 (or 1593 counting only the distinct ones).

The product of its (nonzero) digits is 90316800, while the sum is 63.

The spelling of 53753488871040 in words is "fifty-three trillion, seven hundred fifty-three billion, four hundred eighty-eight million, eight hundred seventy-one thousand, forty".