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5207146560 = 263457112609
BaseRepresentation
bin1001101100101111…
…01100000001000000
3111102220011110020000
410312113230001000
541131012142220
62220411120000
7243016005210
oct46627540100
914386143200
105207146560
112232331310
121013a43000
1364ca48a15
143757c4240
15207223390
hex1365ec040

5207146560 has 560 divisors, whose sum is σ = 23102133120. Its totient is φ = 1081589760.

The previous prime is 5207146543. The next prime is 5207146561. The reversal of 5207146560 is 656417025.

It is a happy number.

5207146560 is a `hidden beast` number, since 5 + 20 + 71 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (560).

It is a super-2 number, since 2×52071465602 = 54228750594639667200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5207146561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1994536 + ... + 1997144.

Almost surely, 25207146560 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 5207146560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11551066560).

5207146560 is an abundant number, since it is smaller than the sum of its proper divisors (17894986560).

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

5207146560 is a wasteful number, since it uses less digits than its factorization.

5207146560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2656 (or 2637 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 5207146560 is about 72160.5609734292. The cubic root of 5207146560 is about 1733.2715178481.

The spelling of 5207146560 in words is "five billion, two hundred seven million, one hundred forty-six thousand, five hundred sixty".