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30297312756 = 22321711323877
BaseRepresentation
bin11100001101110111…
…000100110111110100
32220012110201221210200
4130031313010313310
5444022103002011
621530212320500
72121536623614
oct341567046764
986173657720
1030297312756
1111938052557
125a56613130
132b1ab619c9
141675b1ca44
15bc4ca6856
hex70ddc4df4

30297312756 has 108 divisors (see below), whose sum is σ = 81834928812. Its totient is φ = 9418493952.

The previous prime is 30297312743. The next prime is 30297312821. The reversal of 30297312756 is 65721379203.

30297312756 is a `hidden beast` number, since 302 + 9 + 73 + 1 + 275 + 6 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 10601997156 + 19695315600 = 102966^2 + 140340^2 .

It is a super-3 number, since 3×302973127563 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7812690 + ... + 7816566.

Almost surely, 230297312756 is an apocalyptic number.

30297312756 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 30297312756, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40917464406).

30297312756 is an abundant number, since it is smaller than the sum of its proper divisors (51537616056).

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

30297312756 is a wasteful number, since it uses less digits than its factorization.

30297312756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4130 (or 4012 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 30297312756 in words is "thirty billion, two hundred ninety-seven million, three hundred twelve thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 113 153 204 226 306 339 452 612 678 1017 1356 1921 2034 3842 3877 4068 5763 7684 7754 11526 11631 12769 15508 17289 23052 23262 25538 34578 34893 38307 46524 51076 65909 69156 69786 76614 114921 131818 139572 153228 197727 217073 229842 263636 395454 434146 438101 459684 593181 651219 790908 868292 876202 1186362 1302438 1314303 1752404 1953657 2372724 2604876 2628606 3907314 3942909 5257212 7447717 7814628 7885818 14895434 15771636 22343151 29790868 44686302 49505413 67029453 89372604 99010826 134058906 148516239 198021652 268117812 297032478 445548717 594064956 841592021 891097434 1683184042 1782194868 2524776063 3366368084 5049552126 7574328189 10099104252 15148656378 30297312756