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564613130232 = 2336157616643
BaseRepresentation
bin10000011011101011001…
…00001010011111111000
31222222100212012211000000
420031311210022133320
533222311430131412
61111214002513000
755535432264334
oct10156544123770
91888325184000
10564613130232
111a84a6435588
1291513965760
1341320541808
141d4826307c4
15ea4836e4dc
hex837590a7f8

564613130232 has 112 divisors (see below), whose sum is σ = 1597360784040. Its totient is φ = 187005319488.

The previous prime is 564613130231. The next prime is 564613130267. The reversal of 564613130232 is 232031316465.

564613130232 is a `hidden beast` number, since 5 + 6 + 4 + 613 + 1 + 3 + 0 + 2 + 32 = 666.

564613130232 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (564613130231) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 607303 + ... + 1223945.

Almost surely, 2564613130232 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 564613130232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (798680392020).

564613130232 is an abundant number, since it is smaller than the sum of its proper divisors (1032747653808).

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

564613130232 is a wasteful number, since it uses less digits than its factorization.

564613130232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 616824 (or 616805 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 564613130232 its reverse (232031316465), we get a palindrome (796644446697).

The spelling of 564613130232 in words is "five hundred sixty-four billion, six hundred thirteen million, one hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 157 162 216 243 314 324 471 486 628 648 729 942 972 1256 1413 1458 1884 1944 2826 2916 3768 4239 5652 5832 8478 11304 12717 16956 25434 33912 38151 50868 76302 101736 114453 152604 228906 305208 457812 616643 915624 1233286 1849929 2466572 3699858 4933144 5549787 7399716 11099574 14799432 16649361 22199148 33298722 44398296 49948083 66597444 96812951 99896166 133194888 149844249 193625902 199792332 290438853 299688498 387251804 399584664 449532747 580877706 599376996 774503608 871316559 899065494 1161755412 1198753992 1742633118 1798130988 2323510824 2613949677 3485266236 3596261976 5227899354 6970532472 7841849031 10455798708 15683698062 20911597416 23525547093 31367396124 47051094186 62734792248 70576641279 94102188372 141153282558 188204376744 282306565116 564613130232