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30608902116 = 223213222432
BaseRepresentation
bin11100100000011011…
…101100011111100100
32221000012001100001100
4130200123230133210
51000141334331431
622021143000100
72132342242452
oct344033543744
987005040040
1030608902116
1111a87a22221
125b22a39030
132b6a589900
1416a526b9d2
15be23044e6
hex7206ec7e4

30608902116 has 81 divisors (see below), whose sum is σ = 83819428329. Its totient is φ = 9413924832.

The previous prime is 30608902081. The next prime is 30608902127. The reversal of 30608902116 is 61120980603.

The square root of 30608902116 is 174954.

It is a perfect power (a square), and thus also a powerful number.

30608902116 is a `hidden beast` number, since 30 + 608 + 9 + 0 + 2 + 1 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4527944100 + 26080958016 = 67290^2 + 161496^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13645291 + ... + 13647533.

Almost surely, 230608902116 is an apocalyptic number.

30608902116 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

30608902116 is the 174954-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30608902116

30608902116 is an abundant number, since it is smaller than the sum of its proper divisors (53210526213).

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

30608902116 is a wasteful number, since it uses less digits than its factorization.

30608902116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4522 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 30608902116 by its sum of digits (36), we get a square (1101920476176 = 10497242).

30608902116 divided by its sum of digits (36) gives a square (850247281 = 291592).

The spelling of 30608902116 in words is "thirty billion, six hundred eight million, nine hundred two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 2243 3042 4486 6084 6729 8972 13458 20187 26916 29159 40374 58318 80748 87477 116636 174954 262431 349908 379067 524862 758134 1049724 1137201 1516268 2274402 3411603 4548804 5031049 6823206 10062098 13646412 15093147 20124196 30186294 45279441 60372588 65403637 90558882 130807274 181117764 196210911 261614548 392421822 588632733 784843644 850247281 1177265466 1700494562 2354530932 2550741843 3400989124 5101483686 7652225529 10202967372 15304451058 30608902116