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53641435124641 = 7313231497334789
BaseRepresentation
bin11000011001001010111101…
…01011111001001110100001
321000221001220211210000111011
430030211132223321032201
524012330124342442031
6310030311325420521
714204315524321000
oct1414453653711641
9230831824700434
1053641435124641
1116101228775821
1260240a010a741
1323c149a38bac0
14d3638b7a8c37
1563050bbda6b1
hex30c95eaf93a1

53641435124641 has 128 divisors (see below), whose sum is σ = 70879737600000. Its totient is φ = 40260410201088.

The previous prime is 53641435124633. The next prime is 53641435124657. The reversal of 53641435124641 is 14642153414635.

It is not a de Polignac number, because 53641435124641 - 23 = 53641435124633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (53641435124441) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 11200965475 + ... + 11200970263.

It is an arithmetic number, because the mean of its divisors is an integer number (553747950000).

Almost surely, 253641435124641 is an apocalyptic number.

It is an amenable number.

53641435124641 is a deficient number, since it is larger than the sum of its proper divisors (17238302475359).

53641435124641 is a wasteful number, since it uses less digits than its factorization.

53641435124641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5728 (or 5714 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 49.

The spelling of 53641435124641 in words is "fifty-three trillion, six hundred forty-one billion, four hundred thirty-five million, one hundred twenty-four thousand, six hundred forty-one".

Divisors: 1 7 13 23 49 91 149 161 299 343 637 733 1043 1127 1937 2093 3427 4459 4789 5131 7301 7889 9529 13559 14651 16859 23989 33523 35917 44551 51107 62257 66703 94913 102557 109217 110147 118013 167923 219167 234661 251419 311857 435799 466921 664391 713561 764519 771029 826091 1175461 1419821 1431911 1534169 1642627 2182999 2511991 3050593 3268447 3510337 4994927 5351633 5397203 5782637 9276293 9938747 10023377 10739183 15280993 16411903 17583937 21354151 24572359 32655883 34964489 37461431 37780421 45634381 64934051 69571229 70163639 75174281 80737751 114883321 123087559 172006513 213354739 228591181 244751423 319440667 454538357 486998603 491145473 523040213 565164257 804183247 861612913 1049590763 1204045591 1493483173 1600138267 2236084669 3181768499 3661281491 3956149799 5629282729 6799522769 7347135341 10454382211 11200967869 12029924899 15652592683 25628970437 27693048593 47596659383 51429947387 73180675477 84209474293 156389023687 179402793059 333176615681 360009631709 589466320051 1094723165809 2332236309767 4126264240357 7663062160663 53641435124641