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30527824808 = 23131574214441
BaseRepresentation
bin11100011011100110…
…011010001110101000
32220210112111011220002
4130123212122032220
51000010110343213
622005125122132
72130336141455
oct343346321650
986715434802
1030527824808
1111a46185688
125abb859348
132b56840080
1416985a482c
15bda13b658
hex71b99a3a8

30527824808 has 64 divisors (see below), whose sum is σ = 62196706320. Its totient is φ = 13963622400.

The previous prime is 30527824807. The next prime is 30527824841. The reversal of 30527824808 is 80842872503.

It can be written as a sum of positive squares in 8 ways, for example, as 139665124 + 30388159684 = 11818^2 + 174322^2 .

It is not an unprimeable number, because it can be changed into a prime (30527824807) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6871868 + ... + 6876308.

Almost surely, 230527824808 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 30527824808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31098353160).

30527824808 is an abundant number, since it is smaller than the sum of its proper divisors (31668881512).

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

30527824808 is a wasteful number, since it uses less digits than its factorization.

30527824808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5038 (or 5034 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 47.

The spelling of 30527824808 in words is "thirty billion, five hundred twenty-seven million, eight hundred twenty-four thousand, eight hundred eight".

Divisors: 1 2 4 8 13 26 52 104 157 314 421 628 842 1256 1684 2041 3368 4082 4441 5473 8164 8882 10946 16328 17764 21892 35528 43784 57733 66097 115466 132194 230932 264388 461864 528776 697237 859261 1394474 1718522 1869661 2788948 3437044 3739322 5577896 6874088 7478644 9064081 14957288 18128162 24305593 36256324 48611186 72512648 97222372 194444744 293536777 587073554 1174147108 2348294216 3815978101 7631956202 15263912404 30527824808