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5083492960 = 2557132107251
BaseRepresentation
bin1001011101111111…
…11111001001100000
3111010021111012101001
410232333333021200
540402333233320
62200232521344
7236654656120
oct45677771140
914107435331
105083492960
112179554557
12b9a550254
13630242b00
143631d6c80
151eb44a20a
hex12efff260

5083492960 has 288 divisors, whose sum is σ = 15061116672. Its totient is φ = 1587456000.

The previous prime is 5083492957. The next prime is 5083493021. The reversal of 5083492960 is 692943805.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 5083492960.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20252835 + ... + 20253085.

It is an arithmetic number, because the mean of its divisors is an integer number (52295544).

Almost surely, 25083492960 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 5083492960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7530558336).

5083492960 is an abundant number, since it is smaller than the sum of its proper divisors (9977623712).

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

5083492960 is a wasteful number, since it uses less digits than its factorization.

5083492960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 406 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The square root of 5083492960 is about 71298.6182194298. The cubic root of 5083492960 is about 1719.4415168957.

The spelling of 5083492960 in words is "five billion, eighty-three million, four hundred ninety-two thousand, nine hundred sixty".