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30288675276 = 22331916139151
BaseRepresentation
bin11100001101010110…
…001000000111001100
32220011212111010102000
4130031112020013030
5444012400102101
621525303232300
72121403330506
oct341526100714
986155433360
1030288675276
1111933193042
125a53748690
132b19129382
141674910d76
15bc414c486
hex70d5881cc

30288675276 has 96 divisors (see below), whose sum is σ = 82719436800. Its totient is φ = 9557870400.

The previous prime is 30288675269. The next prime is 30288675283. The reversal of 30288675276 is 67257688203.

30288675276 is a `hidden beast` number, since 30 + 2 + 8 + 86 + 7 + 527 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (30288675269) and next prime (30288675283).

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3305301 + ... + 3314451.

It is an arithmetic number, because the mean of its divisors is an integer number (861660800).

Almost surely, 230288675276 is an apocalyptic number.

30288675276 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 30288675276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41359718400).

30288675276 is an abundant number, since it is smaller than the sum of its proper divisors (52430761524).

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

30288675276 is a wasteful number, since it uses less digits than its factorization.

30288675276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10796 (or 10788 counting only the distinct ones).

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

The spelling of 30288675276 in words is "thirty billion, two hundred eighty-eight million, six hundred seventy-five thousand, two hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 1613 2052 3226 4839 6452 9151 9678 14517 18302 19356 27453 29034 30647 36604 43551 54906 58068 61294 82359 87102 91941 109812 122588 164718 173869 174204 183882 247077 275823 329436 347738 367764 494154 521607 551646 695476 827469 988308 1043214 1103292 1564821 1654938 2086428 3129642 3309876 4694463 6259284 9388926 14760563 18777852 29521126 44281689 59042252 88563378 132845067 177126756 265690134 280450697 398535201 531380268 560901394 797070402 841352091 1121802788 1594140804 1682704182 2524056273 3365408364 5048112546 7572168819 10096225092 15144337638 30288675276