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5638524864 = 2637385619
BaseRepresentation
bin1010100000001010…
…10000111111000000
3112112221212202000020
411100011100333000
543021430243424
62331301053440
7256504446000
oct52005207700
915487782006
105638524864
112433889205
1211143b7280
136bb22575b
143b6bd6000
15230034079
hex150150fc0

5638524864 has 112 divisors (see below), whose sum is σ = 17397984000. Its totient is φ = 1610988288.

The previous prime is 5638524841. The next prime is 5638524887. The reversal of 5638524864 is 4684258365.

It is an interprime number because it is at equal distance from previous prime (5638524841) and next prime (5638524887).

It is a tau number, because it is divible by the number of its divisors (112).

It is a zygodrome in base 4.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23047 + ... + 108665.

Almost surely, 25638524864 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 5638524864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8698992000).

5638524864 is an abundant number, since it is smaller than the sum of its proper divisors (11759459136).

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

5638524864 is an equidigital number, since it uses as much as digits as its factorization.

5638524864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85655 (or 85631 counting only the distinct ones).

The product of its digits is 5529600, while the sum is 51.

The square root of 5638524864 is about 75090.1116259658. Note that the first 3 decimals coincide. The cubic root of 5638524864 is about 1779.8708890908.

The spelling of 5638524864 in words is "five billion, six hundred thirty-eight million, five hundred twenty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 343 392 448 588 672 686 784 1029 1176 1344 1372 1568 2058 2352 2744 3136 4116 4704 5488 8232 9408 10976 16464 21952 32928 65856 85619 171238 256857 342476 513714 599333 684952 1027428 1198666 1369904 1797999 2054856 2397332 2739808 3595998 4109712 4195331 4794664 5479616 7191996 8219424 8390662 9589328 12585993 14383992 16438848 16781324 19178656 25171986 28767984 29367317 33562648 38357312 50343972 57535968 58734634 67125296 88101951 100687944 115071936 117469268 134250592 176203902 201375888 234938536 268501184 352407804 402751776 469877072 704815608 805503552 939754144 1409631216 1879508288 2819262432 5638524864