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133055284736 = 2911612511543
BaseRepresentation
bin111101111101010110…
…1101000011000000000
3110201102211222210100202
41323322231220120000
54134444123102421
6141042540304332
712420143155013
oct1737255503000
9421384883322
10133055284736
115147926a840
1221953b420a8
13c715b74a1a
14662318337a
1536db1c810b
hex1efab68600

133055284736 has 160 divisors (see below), whose sum is σ = 296139545856. Its totient is φ = 59212800000.

The previous prime is 133055284619. The next prime is 133055284741. The reversal of 133055284736 is 637482550331.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 86230781 + ... + 86232323.

Almost surely, 2133055284736 is an apocalyptic number.

133055284736 is a gapful number since it is divisible by the number (16) 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 133055284736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148069772928).

133055284736 is an abundant number, since it is smaller than the sum of its proper divisors (163084261120).

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

133055284736 is a wasteful number, since it uses less digits than its factorization.

133055284736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 47.

The spelling of 133055284736 in words is "one hundred thirty-three billion, fifty-five million, two hundred eighty-four thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 128 176 244 251 256 352 488 502 512 671 704 976 1004 1342 1408 1543 1952 2008 2684 2761 2816 3086 3904 4016 5368 5522 5632 6172 7808 8032 10736 11044 12344 15311 15616 16064 16973 21472 22088 24688 30622 31232 32128 33946 42944 44176 49376 61244 64256 67892 85888 88352 94123 98752 122488 128512 135784 168421 171776 176704 188246 197504 244976 271568 336842 343552 353408 376492 387293 395008 489952 543136 673684 706816 752984 774586 790016 979904 1035353 1086272 1347368 1413632 1505968 1549172 1959808 2070706 2172544 2694736 3011936 3098344 3919616 4141412 4260223 4345088 5389472 6023872 6196688 7839232 8282824 8520446 8690176 10778944 12047744 12393376 16565648 17040892 21557888 23624873 24095488 24786752 33131296 34081784 43115776 47249746 48190976 49573504 66262592 68163568 86231552 94499492 99147008 132525184 136327136 188998984 198294016 259873603 265050368 272654272 377997968 519747206 530100736 545308544 755995936 1039494412 1090617088 1511991872 2078988824 2181234176 3023983744 4157977648 6047967488 8315955296 12095934976 16631910592 33263821184 66527642368 133055284736