Search a number
-
+
5739754478304 = 25372112127271293
BaseRepresentation
bin101001110000110010000…
…0001101101101011100000
3202022201022100200021012110
41103201210001231223200
51223020004121301204
620112450134155320
71131453316035600
oct123414401555340
922281270607173
105739754478304
11191324184a100
127884a01b2b40
1332834477b542
1415bb3c7c6c00
159e486963889
hex5386406dae0

5739754478304 has 864 divisors, whose sum is σ = 19554793832448. Its totient is φ = 1468618905600.

The previous prime is 5739754478267. The next prime is 5739754478321. The reversal of 5739754478304 is 4038744579375.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 19589605582 + ... + 19589605874.

It is an arithmetic number, because the mean of its divisors is an integer number (22632863232).

Almost surely, 25739754478304 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 5739754478304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9777396916224).

5739754478304 is an abundant number, since it is smaller than the sum of its proper divisors (13815039354144).

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

5739754478304 is a wasteful number, since it uses less digits than its factorization.

5739754478304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 355622400, while the sum is 66.

The spelling of 5739754478304 in words is "five trillion, seven hundred thirty-nine billion, seven hundred fifty-four million, four hundred seventy-eight thousand, three hundred four".