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147066597552 = 24373116578521
BaseRepresentation
bin1000100011110111011…
…0100011000010110000
3112001121022202020012110
42020331312203002300
54402143022110202
6151321135325320
713424306311350
oct2107566430260
9461538666173
10147066597552
1157409295506
1224604380840
1310b39914b74
147191d62b60
153c5b2e326c
hex223dda30b0

147066597552 has 160 divisors (see below), whose sum is σ = 448526086144. Its totient is φ = 40634265600.

The previous prime is 147066597547. The next prime is 147066597553. The reversal of 147066597552 is 255795660741.

147066597552 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 147066597492 and 147066597501.

It is not an unprimeable number, because it can be changed into a prime (147066597553) 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 31 ways as a sum of consecutive naturals, for example, 17255052 + ... + 17263572.

Almost surely, 2147066597552 is an apocalyptic number.

147066597552 is a gapful number since it is divisible by the number (12) 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 147066597552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224263043072).

147066597552 is an abundant number, since it is smaller than the sum of its proper divisors (301459488592).

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

147066597552 is a wasteful number, since it uses less digits than its factorization.

147066597552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10227 (or 10221 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 57.

The spelling of 147066597552 in words is "one hundred forty-seven billion, sixty-six million, five hundred ninety-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1657 1736 2604 3314 3472 4971 5208 6628 8521 9942 10416 11599 13256 17042 19884 23198 25563 26512 34084 34797 39768 46396 51126 51367 59647 68168 69594 79536 92792 102252 102734 119294 136336 139188 154101 178941 185584 204504 205468 238588 264151 278376 308202 357882 359569 409008 410936 477176 528302 556752 616404 715764 719138 792453 821872 954352 1056604 1078707 1232808 1431528 1438276 1584906 1849057 2113208 2157414 2465616 2863056 2876552 3169812 3698114 4226416 4314828 5547171 5753104 6339624 7396228 8629656 11094342 12679248 14119297 14792456 17259312 22188684 28238594 29584912 42357891 44377368 56477188 84715782 88754736 98835079 112954376 169431564 197670158 225908752 296505237 338863128 395340316 437698207 593010474 677726256 790680632 875396414 1186020948 1313094621 1581361264 1750792828 2372041896 2626189242 3063887449 3501585656 4744083792 5252378484 6127774898 7003171312 9191662347 10504756968 12255549796 18383324694 21009513936 24511099592 36766649388 49022199184 73533298776 147066597552