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4535116335312 = 24317107172130181
BaseRepresentation
bin100000111111110100111…
…1111111000100011010000
3121001112221001111002011020
41001333221333320203100
51043300404240212222
613351223110115440
7645436260545013
oct101775177704320
917045831432136
104535116335312
111499371a39592
12612b2934bb80
1326b8762b0034
141197022b337a
157ce7e99d65c
hex41fe9ff88d0

4535116335312 has 160 divisors (see below), whose sum is σ = 12528500874624. Its totient is φ = 1408618905600.

The previous prime is 4535116335311. The next prime is 4535116335331. The reversal of 4535116335312 is 2135336115354.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4535116335311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 150248862 + ... + 150279042.

Almost surely, 24535116335312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4535116335312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6264250437312).

4535116335312 is an abundant number, since it is smaller than the sum of its proper divisors (7993384539312).

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

4535116335312 is a wasteful number, since it uses less digits than its factorization.

4535116335312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32037 (or 32031 counting only the distinct ones).

The product of its digits is 486000, while the sum is 42.

The spelling of 4535116335312 in words is "four trillion, five hundred thirty-five billion, one hundred sixteen million, three hundred thirty-five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 107 136 204 214 272 321 408 428 642 816 856 1284 1712 1721 1819 2568 3442 3638 5136 5163 5457 6884 7276 10326 10914 13768 14552 20652 21828 27536 29104 29257 30181 41304 43656 58514 60362 82608 87312 87771 90543 117028 120724 175542 181086 184147 234056 241448 351084 362172 368294 468112 482896 513077 552441 702168 724344 736588 1026154 1104882 1404336 1448688 1473176 1539231 2052308 2209764 2946352 3078462 3130499 3229367 4104616 4419528 6156924 6260998 6458734 8209232 8839056 9391497 9688101 12313848 12521996 12917468 18782994 19376202 24627696 25043992 25834936 37565988 38752404 50087984 51669872 51941501 54899239 75131976 77504808 103883002 109798478 150263952 155009616 155824503 164697717 207766004 219596956 311649006 329395434 415532008 439193912 623298012 658790868 831064016 878387824 883005517 1246596024 1317581736 1766011034 2493192048 2635163472 2649016551 3532022068 5298033102 5557740607 7064044136 10596066204 11115481214 14128088272 16673221821 21192132408 22230962428 33346443642 42384264816 44461924856 66692887284 88923849712 94481590319 133385774568 188963180638 266771549136 283444770957 377926361276 566889541914 755852722552 1133779083828 1511705445104 2267558167656 4535116335312