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53452067760 = 2432571317371297
BaseRepresentation
bin110001110001111111…
…011101001110110000
312002222011111101100100
4301301333131032300
51333432212132020
640315555152400
73601410036150
oct616177351660
9162864441310
1053452067760
112073a331713
12a438ba5700
13506acc6180
142830db2760
1515cc984a90
hexc71fdd3b0

53452067760 has 960 divisors, whose sum is σ = 240439110912. Its totient is φ = 10319560704.

The previous prime is 53452067659. The next prime is 53452067761. The reversal of 53452067760 is 6776025435.

53452067760 is a `hidden beast` number, since 5 + 3 + 4 + 520 + 67 + 7 + 60 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (53452067761) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41211432 + ... + 41212728.

Almost surely, 253452067760 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 53452067760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120219555456).

53452067760 is an abundant number, since it is smaller than the sum of its proper divisors (186987043152).

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

53452067760 is a wasteful number, since it uses less digits than its factorization.

53452067760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1390 (or 1381 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 45.

The spelling of 53452067760 in words is "fifty-three billion, four hundred fifty-two million, sixty-seven thousand, seven hundred sixty".