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30112287768 = 2332896417331
BaseRepresentation
bin11100000010110101…
…010000110000011000
32212201120120201020100
4130002311100300120
5443132221202033
621500002455400
72114132136303
oct340265206030
985646521210
1030112287768
1111852668542
125a04664560
132abb71b874
141659317b3a
15bb3909513
hex702d50c18

30112287768 has 96 divisors (see below), whose sum is σ = 82610377200. Its totient is φ = 9907814400.

The previous prime is 30112287767. The next prime is 30112287797. The reversal of 30112287768 is 86778221103.

30112287768 is a `hidden beast` number, since 301 + 1 + 2 + 287 + 7 + 68 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30112287767) 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 23 ways as a sum of consecutive naturals, for example, 4103863 + ... + 4111193.

Almost surely, 230112287768 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 30112287768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41305188600).

30112287768 is an abundant number, since it is smaller than the sum of its proper divisors (52498089432).

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

30112287768 is a wasteful number, since it uses less digits than its factorization.

30112287768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8073 (or 8066 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 30112287768 in words is "thirty billion, one hundred twelve million, two hundred eighty-seven thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 641 712 801 1068 1282 1602 1923 2136 2564 3204 3846 5128 5769 6408 7331 7692 11538 14662 15384 21993 23076 29324 43986 46152 57049 58648 65979 87972 114098 131958 171147 175944 228196 263916 342294 456392 513441 527832 652459 684588 1026882 1304918 1369176 1957377 2053764 2609836 3914754 4107528 4699171 5219672 5872131 7829508 9398342 11744262 14097513 15659016 18796684 23488524 28195026 37593368 42292539 46977048 56390052 84585078 112780104 169170156 338340312 418226219 836452438 1254678657 1672904876 2509357314 3345809752 3764035971 5018714628 7528071942 10037429256 15056143884 30112287768