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5741537920 = 27512770639
BaseRepresentation
bin1010101100011100…
…01110101010000000
3112211010201100100121
411112032032222000
543224313203140
62345421030024
7262165160416
oct52616165200
915733640317
105741537920
112486a48468
1211429b5314
13706682821
143c676d2b6
152390d164a
hex15638ea80

5741537920 has 64 divisors (see below), whose sum is σ = 13834137600. Its totient is φ = 2278499328.

The previous prime is 5741537873. The next prime is 5741537927. The reversal of 5741537920 is 297351475.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-3 number, since 3×57415379203 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (5741537927) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45961 + ... + 116599.

It is an arithmetic number, because the mean of its divisors is an integer number (216158400).

Almost surely, 25741537920 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 5741537920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6917068800).

5741537920 is an abundant number, since it is smaller than the sum of its proper divisors (8092599680).

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

5741537920 is a wasteful number, since it uses less digits than its factorization.

5741537920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70785 (or 70773 counting only the distinct ones).

The product of its (nonzero) digits is 264600, while the sum is 43.

The square root of 5741537920 is about 75772.9365934830. The cubic root of 5741537920 is about 1790.6446623614.

The spelling of 5741537920 in words is "five billion, seven hundred forty-one million, five hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 320 508 635 640 1016 1270 2032 2540 4064 5080 8128 10160 16256 20320 40640 70639 81280 141278 282556 353195 565112 706390 1130224 1412780 2260448 2825560 4520896 5651120 8971153 9041792 11302240 17942306 22604480 35884612 44855765 45208960 71769224 89711530 143538448 179423060 287076896 358846120 574153792 717692240 1148307584 1435384480 2870768960 5741537920