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5790168384 = 2637111347641
BaseRepresentation
bin1010110010001111…
…01111010101000000
3112221112020000210220
411121013233111000
543324240342014
62354315223040
7263325422250
oct53107572500
915845200726
105790168384
112501443230
121157147a80
1371377b750
143ccdcb960
1523d4da6a9
hex1591ef540

5790168384 has 448 divisors, whose sum is σ = 21039685632. Its totient is φ = 1356595200.

The previous prime is 5790168383. The next prime is 5790168403. The reversal of 5790168384 is 4838610975.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5790168383) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9032704 + ... + 9033344.

It is an arithmetic number, because the mean of its divisors is an integer number (46963584).

Almost surely, 25790168384 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 5790168384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10519842816).

5790168384 is an abundant number, since it is smaller than the sum of its proper divisors (15249517248).

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

5790168384 is a wasteful number, since it uses less digits than its factorization.

5790168384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 724 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The square root of 5790168384 is about 76093.1559603096. The cubic root of 5790168384 is about 1795.6860048657.

The spelling of 5790168384 in words is "five billion, seven hundred ninety million, one hundred sixty-eight thousand, three hundred eighty-four".