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30468870576 = 243423509931
BaseRepresentation
bin11100011000000101…
…100001000110110000
32220122102112222220000
4130120011201012300
5444400012324301
621555221350000
72126022061314
oct343005410660
986572488800
1030468870576
1111a15979481
125aa3b68300
132b4756b101
141690819b44
15bd4d93786
hex7181611b0

30468870576 has 50 divisors (see below), whose sum is σ = 88185754932. Its totient is φ = 10156289760.

The previous prime is 30468870571. The next prime is 30468870577. The reversal of 30468870576 is 67507886403.

30468870576 is a `hidden beast` number, since 3 + 0 + 4 + 68 + 8 + 7 + 0 + 576 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (30468870571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11753670 + ... + 11756261.

Almost surely, 230468870576 is an apocalyptic number.

30468870576 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

30468870576 is an abundant number, since it is smaller than the sum of its proper divisors (57716884356).

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

30468870576 is a wasteful number, since it uses less digits than its factorization.

30468870576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23509951 (or 23509936 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 30468870576 in words is "thirty billion, four hundred sixty-eight million, eight hundred seventy thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 23509931 47019862 70529793 94039724 141059586 188079448 211589379 282119172 376158896 423178758 564238344 634768137 846357516 1128476688 1269536274 1692715032 1904304411 2539072548 3385430064 3808608822 5078145096 7617217644 10156290192 15234435288 30468870576