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30964654368 = 2532103692
BaseRepresentation
bin11100110101101000…
…110010000100100000
32221220222110102101200
4130311220302010200
51001403422414433
622120332001200
72144222135154
oct346550620440
987828412350
1030964654368
111214a81614a
126002000200
132bc61a80bb
1416da5d5064
15c13677613
hex735a32120

30964654368 has 54 divisors (see below), whose sum is σ = 88064228889. Its totient is φ = 10320556032.

The previous prime is 30964654361. The next prime is 30964654373. The reversal of 30964654368 is 86345646903.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

30964654368 is a `hidden beast` number, since 3 + 0 + 96 + 4 + 6 + 543 + 6 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 22539617424 + 8425036944 = 150132^2 + 91788^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=124428.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (30964654361) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2981088 + ... + 2991456.

Almost surely, 230964654368 is an apocalyptic number.

It is an amenable number.

30964654368 is an abundant number, since it is smaller than the sum of its proper divisors (57099574521).

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

30964654368 is an frugal number, since it uses more digits than its factorization.

30964654368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20754 (or 10374 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 30964654368 in words is "thirty billion, nine hundred sixty-four million, six hundred fifty-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 10369 20738 31107 41476 62214 82952 93321 124428 165904 186642 248856 331808 373284 497712 746568 995424 1493136 2986272 107516161 215032322 322548483 430064644 645096966 860129288 967645449 1290193932 1720258576 1935290898 2580387864 3440517152 3870581796 5160775728 7741163592 10321551456 15482327184 30964654368