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30285731744 = 2517413074423
BaseRepresentation
bin11100001101001010…
…111001011110100000
32220011122221120122022
4130031022321132200
5444011121403434
621525120201012
72121336321002
oct341512713640
986148846568
1030285731744
1111931562574
125a52769168
132b18638638
141674386372
15bc3c6a22e
hex70d2b97a0

30285731744 has 96 divisors (see below), whose sum is σ = 64897531776. Its totient is φ = 13856071680.

The previous prime is 30285731743. The next prime is 30285731843. The reversal of 30285731744 is 44713758203.

It is a super-3 number, since 3×302857317443 (a number of 32 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30285731695 and 30285731704.

It is not an unprimeable number, because it can be changed into a prime (30285731743) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6845117 + ... + 6849539.

It is an arithmetic number, because the mean of its divisors is an integer number (676015956).

Almost surely, 230285731744 is an apocalyptic number.

30285731744 is a gapful number since it is divisible by the number (34) 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 30285731744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32448765888).

30285731744 is an abundant number, since it is smaller than the sum of its proper divisors (34611800032).

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

30285731744 is a wasteful number, since it uses less digits than its factorization.

30285731744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4798 (or 4790 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 44.

The spelling of 30285731744 in words is "thirty billion, two hundred eighty-five million, seven hundred thirty-one thousand, seven hundred forty-four".

Divisors: 1 2 4 8 16 17 32 34 41 68 82 136 164 272 307 328 544 614 656 697 1228 1312 1394 2456 2788 4423 4912 5219 5576 8846 9824 10438 11152 12587 17692 20876 22304 25174 35384 41752 50348 70768 75191 83504 100696 141536 150382 167008 181343 201392 213979 300764 362686 402784 427958 601528 725372 855916 1203056 1357861 1450744 1711832 2406112 2715722 2901488 3082831 3423664 5431444 5802976 6165662 6847328 10862888 12331324 21725776 23083637 24662648 43451552 46167274 49325296 55672301 92334548 98650592 111344602 184669096 222689204 369338192 445378408 738676384 890756816 946429117 1781513632 1892858234 3785716468 7571432936 15142865872 30285731744