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4862988000 = 2532531310391
BaseRepresentation
bin1001000011101101…
…10100111011100000
3110112220120101102200
410201312310323200
534424411104000
62122314413200
7231336500403
oct44166647340
913486511380
104862988000
112076036952
12b38731200
135c66595c0
14341bd7d3a
151d6de0500
hex121db4ee0

4862988000 has 288 divisors, whose sum is σ = 18588128832. Its totient is φ = 1196928000.

The previous prime is 4862987993. The next prime is 4862988007. The reversal of 4862988000 is 8892684.

It is a happy number.

4862988000 is a `hidden beast` number, since 486 + 2 + 98 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (4862987993) and next prime (4862988007).

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4862988007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 462805 + ... + 473195.

It is an arithmetic number, because the mean of its divisors is an integer number (64542114).

Almost surely, 24862988000 is an apocalyptic number.

4862988000 is a gapful number since it is divisible by the number (40) 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 4862988000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9294064416).

4862988000 is an abundant number, since it is smaller than the sum of its proper divisors (13725140832).

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

4862988000 is a wasteful number, since it uses less digits than its factorization.

4862988000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10414 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The square root of 4862988000 is about 69735.1274466463. The cubic root of 4862988000 is about 1694.2119186034.

The spelling of 4862988000 in words is "four billion, eight hundred sixty-two million, nine hundred eighty-eight thousand".