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5023762560 = 2735532303
BaseRepresentation
bin1001010110111000…
…01000100010000000
3110222010002120200000
410223130020202000
540242040400220
62150300400000
7235331164035
oct45334104200
913863076600
105023762560
112148868193
12b82546000
13620a5b78b
143592c938c
151e609c390
hex12b708880

5023762560 has 192 divisors, whose sum is σ = 17990743680. Its totient is φ = 1339628544.

The previous prime is 5023762547. The next prime is 5023762571. The reversal of 5023762560 is 652673205.

It is a happy number.

5023762560 is a `hidden beast` number, since 5 + 0 + 2 + 37 + 62 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 139369 + ... + 171671.

It is an arithmetic number, because the mean of its divisors is an integer number (93701790).

Almost surely, 25023762560 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 5023762560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8995371840).

5023762560 is an abundant number, since it is smaller than the sum of its proper divisors (12966981120).

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

5023762560 is an equidigital number, since it uses as much as digits as its factorization.

5023762560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32337 (or 32313 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The square root of 5023762560 is about 70878.5056275878. The cubic root of 5023762560 is about 1712.6805603567.

The spelling of 5023762560 in words is "five billion, twenty-three million, seven hundred sixty-two thousand, five hundred sixty".