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53652860640 = 25325312137283
BaseRepresentation
bin110001111101111101…
…011010111011100000
312010111011022201101200
4301331331122323200
51334340113020030
640351531001200
73606365535141
oct617575327340
9163434281350
1053652860640
1120832706345
12a494299200
1350a079a322
14284d91dac8
1515e03e8d60
hexc7df5aee0

53652860640 has 432 divisors, whose sum is σ = 191241361584. Its totient is φ = 13696266240.

The previous prime is 53652860629. The next prime is 53652860831. The reversal of 53652860640 is 4606825635.

53652860640 is a `hidden beast` number, since 5 + 3 + 6 + 528 + 60 + 64 + 0 = 666.

It is a super-2 number, since 2×536528606402 (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189585939 + ... + 189586221.

It is an arithmetic number, because the mean of its divisors is an integer number (442688337).

Almost surely, 253652860640 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 53652860640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95620680792).

53652860640 is an abundant number, since it is smaller than the sum of its proper divisors (137588500944).

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

53652860640 is a wasteful number, since it uses less digits than its factorization.

53652860640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 461 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 53652860640 in words is "fifty-three billion, six hundred fifty-two million, eight hundred sixty thousand, six hundred forty".