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5730252039936 = 283217857170711
BaseRepresentation
bin101001101100010110110…
…1000110010011100000000
3202021210210010011101022200
41103120231220302130000
51222341024010234221
620104235204033200
71130665662453624
oct123305550623400
922253703141280
105730252039936
11190a205986556
12786689992800
1332748bba1348
1415b4ba783184
159e0cc5db426
hex5362da32700

5730252039936 has 216 divisors, whose sum is σ = 17514110918304. Its totient is φ = 1795617914880.

The previous prime is 5730252039893. The next prime is 5730252039959. The reversal of 5730252039936 is 6399302520375.

5730252039936 is a `hidden beast` number, since 57 + 3 + 0 + 2 + 520 + 39 + 9 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 33481621 + ... + 33652331.

It is an arithmetic number, because the mean of its divisors is an integer number (81083846844).

Almost surely, 25730252039936 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 5730252039936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8757055459152).

5730252039936 is an abundant number, since it is smaller than the sum of its proper divisors (11783858878368).

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

5730252039936 is a wasteful number, since it uses less digits than its factorization.

5730252039936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 171607 (or 171590 counting only the distinct ones).

The product of its (nonzero) digits is 9185400, while the sum is 54.

The spelling of 5730252039936 in words is "five trillion, seven hundred thirty billion, two hundred fifty-two million, thirty-nine thousand, nine hundred thirty-six".