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5388086304 = 253411171861
BaseRepresentation
bin1010000010010011…
…11010110000100000
3111220111122010220000
411001021322300200
542013322230204
62250353220000
7250343656266
oct50111726040
914814563800
105388086304
112315485a97
121064561600
1367b38b563
14391844436
15218065039
hex14127ac20

5388086304 has 120 divisors (see below), whose sum is σ = 15868921068. Its totient is φ = 1793456640.

The previous prime is 5388086293. The next prime is 5388086311. The reversal of 5388086304 is 4036808835.

5388086304 is a `hidden beast` number, since 5 + 3 + 8 + 8 + 0 + 8 + 630 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3346853904 + 2041232400 = 57852^2 + 45180^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 5388086304.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2894334 + ... + 2896194.

Almost surely, 25388086304 is an apocalyptic number.

5388086304 is a gapful number since it is divisible by the number (54) 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 5388086304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7934460534).

5388086304 is an abundant number, since it is smaller than the sum of its proper divisors (10480834764).

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

5388086304 is a wasteful number, since it uses less digits than its factorization.

5388086304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3000 (or 2983 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 5388086304 is about 73403.5850895581. The cubic root of 5388086304 is about 1753.1194759413.

The spelling of 5388086304 in words is "five billion, three hundred eighty-eight million, eighty-six thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1117 1296 1861 2234 2592 3351 3722 4468 5583 6702 7444 8936 10053 11166 13404 14888 16749 17872 20106 22332 26808 29776 30159 33498 35744 40212 44664 50247 53616 59552 60318 66996 80424 89328 90477 100494 107232 120636 133992 150741 160848 178656 180954 200988 241272 267984 301482 321696 361908 401976 482544 535968 602964 723816 803952 965088 1205928 1447632 1607904 2078737 2411856 2895264 4157474 4823712 6236211 8314948 12472422 16629896 18708633 24944844 33259792 37417266 49889688 56125899 66519584 74834532 99779376 112251798 149669064 168377697 199558752 224503596 299338128 336755394 449007192 598676256 673510788 898014384 1347021576 1796028768 2694043152 5388086304