Search a number
-
+
5730771900504 = 2337434727536131
BaseRepresentation
bin101001101100100110010…
…0111111001100001011000
3202021212010100101000221210
41103121030213321201120
51222343110101304004
620104402534303120
71131014604266250
oct123311447714130
922255110330853
105730771900504
11190a452378492
127867b3ab7aa0
133275427bb251
1415b529828960
159e10d079089
hex5364c9f9858

5730771900504 has 256 divisors, whose sum is σ = 17119900385280. Its totient is φ = 1564434063360.

The previous prime is 5730771900499. The next prime is 5730771900569. The reversal of 5730771900504 is 4050091770375.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 934717519 + ... + 934723649.

It is an arithmetic number, because the mean of its divisors is an integer number (66874610880).

Almost surely, 25730771900504 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 5730771900504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8559950192640).

5730771900504 is an abundant number, since it is smaller than the sum of its proper divisors (11389128484776).

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

5730771900504 is a wasteful number, since it uses less digits than its factorization.

5730771900504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8990 (or 8986 counting only the distinct ones).

The product of its (nonzero) digits is 926100, while the sum is 48.

The spelling of 5730771900504 in words is "five trillion, seven hundred thirty billion, seven hundred seventy-one million, nine hundred thousand, five hundred four".