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30604907016 = 23321731778877
BaseRepresentation
bin11100100000001100…
…011101001000001000
32220222220112100210200
4130200030131020020
51000134324011031
622020521212200
72132263263105
oct344014351010
986886470720
1030604907016
1111a85743692
125b21631060
132b697bb348
1416a490baac
15be1cb58e6
hex72031d208

30604907016 has 96 divisors (see below), whose sum is σ = 88042046040. Its totient is φ = 9571129344.

The previous prime is 30604906979. The next prime is 30604907029. The reversal of 30604907016 is 61070940603.

30604907016 is a `hidden beast` number, since 30 + 60 + 490 + 70 + 16 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 21109184100 + 9495722916 = 145290^2 + 97446^2 .

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 23 ways as a sum of consecutive naturals, for example, 348570 + ... + 427446.

Almost surely, 230604907016 is an apocalyptic number.

30604907016 is a gapful number since it is divisible by the number (36) 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 30604907016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44021023020).

30604907016 is an abundant number, since it is smaller than the sum of its proper divisors (57437139024).

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

30604907016 is a wasteful number, since it uses less digits than its factorization.

30604907016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79223 (or 79216 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 30604907016 in words is "thirty billion, six hundred four million, nine hundred seven thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 317 408 612 634 951 1224 1268 1902 2536 2853 3804 5389 5706 7608 10778 11412 16167 21556 22824 32334 43112 48501 64668 78877 97002 129336 157754 194004 236631 315508 388008 473262 631016 709893 946524 1340909 1419786 1893048 2681818 2839572 4022727 5363636 5679144 8045454 10727272 12068181 16090908 24136362 25004009 32181816 48272724 50008018 75012027 96545448 100016036 150024054 200032072 225036081 300048108 425068153 450072162 600096216 850136306 900144324 1275204459 1700272612 1800288648 2550408918 3400545224 3825613377 5100817836 7651226754 10201635672 15302453508 30604907016