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5738353920 = 283251338317
BaseRepresentation
bin1010101100000100…
…00101010100000000
3112210220201120201200
411112002011110000
543223004311140
62345224501200
7262126126545
oct52602052400
915726646650
105738353920
112485173262
12114191a800
13705b094c0
143c6180bcc
15238ba3030
hex156085500

5738353920 has 216 divisors, whose sum is σ = 21381903816. Its totient is φ = 1412481024.

The previous prime is 5738353879. The next prime is 5738353931. The reversal of 5738353920 is 293538375.

5738353920 is a `hidden beast` number, since 573 + 8 + 3 + 53 + 9 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 231526656 + 5506827264 = 15216^2 + 74208^2 .

It is a super-2 number, since 2×57383539202 = 65857411422358732800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130602 + ... + 168918.

Almost surely, 25738353920 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 5738353920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10690951908).

5738353920 is an abundant number, since it is smaller than the sum of its proper divisors (15643549896).

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

5738353920 is a wasteful number, since it uses less digits than its factorization.

5738353920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38357 (or 38340 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The square root of 5738353920 is about 75751.9235399340. The cubic root of 5738353920 is about 1790.3135973561.

The spelling of 5738353920 in words is "five billion, seven hundred thirty-eight million, three hundred fifty-three thousand, nine hundred twenty".