Search a number
-
+
5730697497600 = 21032521731109433
BaseRepresentation
bin101001101100100100000…
…1100000100110000000000
3202021211221011100222100200
41103121020030010300000
51222342432024410400
620104351315445200
71131013012004205
oct123311014046000
922254834328320
105730697497600
11190a41437a489
12786792bb6800
1332753026a66a
1415b51d9bbcac
159e10677db00
hex53648304c00

5730697497600 has 1584 divisors, whose sum is σ = 22684425603840. Its totient is φ = 1375941427200.

The previous prime is 5730697497571. The next prime is 5730697497643. The reversal of 5730697497600 is 67947960375.

5730697497600 is a `hidden beast` number, since 57 + 3 + 0 + 6 + 97 + 497 + 6 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 13234866984 + ... + 13234867416.

It is an arithmetic number, because the mean of its divisors is an integer number (14320975760).

Almost surely, 25730697497600 is an apocalyptic number.

5730697497600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5730697497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11342212801920).

5730697497600 is an abundant number, since it is smaller than the sum of its proper divisors (16953728106240).

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

5730697497600 is a wasteful number, since it uses less digits than its factorization.

5730697497600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 60011280, while the sum is 63.

The spelling of 5730697497600 in words is "five trillion, seven hundred thirty billion, six hundred ninety-seven million, four hundred ninety-seven thousand, six hundred".