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5020275456 = 283371943127
BaseRepresentation
bin1001010110011101…
…10101001100000000
3110221212112102021000
410223032311030000
540240142303311
62150053532000
7235256431410
oct45316651400
913855472230
105020275456
1121468a6289
12b81344000
1362010a4c1
14358a5c640
151e5b0e056
hex12b3b5300

5020275456 has 576 divisors, whose sum is σ = 18418892800. Its totient is φ = 1316818944.

The previous prime is 5020275443. The next prime is 5020275461. The reversal of 5020275456 is 6545720205.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5020275456.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39529665 + ... + 39529791.

Almost surely, 25020275456 is an apocalyptic number.

5020275456 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5020275456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209446400).

5020275456 is an abundant number, since it is smaller than the sum of its proper divisors (13398617344).

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

5020275456 is a wasteful number, since it uses less digits than its factorization.

5020275456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 84000, while the sum is 36.

The square root of 5020275456 is about 70853.9021931749. The cubic root of 5020275456 is about 1712.2841988960.

The spelling of 5020275456 in words is "five billion, twenty million, two hundred seventy-five thousand, four hundred fifty-six".