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4966254540 = 223251317131953
BaseRepresentation
bin1001010000000001…
…10000011111001100
3110211002212212111100
410220000300133030
540132330121130
62140444023100
7234032316132
oct45000603714
913732785440
104966254540
1121193595a5
12b67231a90
13611b74b70
143517d9752
151e0edcc60
hex1280307cc

4966254540 has 288 divisors, whose sum is σ = 17326685376. Its totient is φ = 1140572160.

The previous prime is 4966254539. The next prime is 4966254541. The reversal of 4966254540 is 454526694.

4966254540 is a `hidden beast` number, since 4 + 9 + 6 + 62 + 545 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (4966254539) and next prime (4966254541).

It is a super-2 number, since 2×49662545402 = 49327368312141223200, which contains 22 as substring.

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 (4966254541) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5210704 + ... + 5211656.

It is an arithmetic number, because the mean of its divisors is an integer number (60162102).

Almost surely, 24966254540 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 4966254540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8663342688).

4966254540 is an abundant number, since it is smaller than the sum of its proper divisors (12360430836).

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

4966254540 is a wasteful number, since it uses less digits than its factorization.

4966254540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129 (or 1124 counting only the distinct ones).

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

The square root of 4966254540 is about 70471.6577071946. The cubic root of 4966254540 is about 1706.1203313285.

The spelling of 4966254540 in words is "four billion, nine hundred sixty-six million, two hundred fifty-four thousand, five hundred forty".