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5738289480 = 2335571121741
BaseRepresentation
bin1010101100000011…
…10101100101001000
3112210220121022100000
411112001311211020
543223000230410
62345223243000
7262125440640
oct52601654510
915726538300
105738289480
112485129900
1211418a9460
13705ab6081
143c6165520
15238b8ddc0
hex156075948

5738289480 has 1152 divisors, whose sum is σ = 26351619840. Its totient is φ = 1094860800.

The previous prime is 5738289451. The next prime is 5738289493. The reversal of 5738289480 is 849828375.

5738289480 = T385 + T386 + ... + T3254.

It is a happy number.

5738289480 is a `hidden beast` number, since 5 + 7 + 3 + 82 + 89 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 139958260 + ... + 139958300.

It is an arithmetic number, because the mean of its divisors is an integer number (22874670).

Almost surely, 25738289480 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 5738289480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13175809920).

5738289480 is an abundant number, since it is smaller than the sum of its proper divisors (20613330360).

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

5738289480 is a wasteful number, since it uses less digits than its factorization.

5738289480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 86 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The square root of 5738289480 is about 75751.4982030059. The cubic root of 5738289480 is about 1790.3068957687.

The spelling of 5738289480 in words is "five billion, seven hundred thirty-eight million, two hundred eighty-nine thousand, four hundred eighty".