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83675003144668 = 22133147270133521
BaseRepresentation
bin10011000001101000011010…
…110101101100100111011100
3101222021020210211121212200021
4103001220122311230213130
541431412401301112133
6453543433224041524
723424214403334625
oct2301503265544734
9358236724555607
1083675003144668
1124730407966091
1294749393032a4
13378c699156ca0
141693c6adc6a4c
159a18a398452d
hex4c1a1ad6c9dc

83675003144668 has 144 divisors (see below), whose sum is σ = 166561509074688. Its totient is φ = 36525000960000.

The previous prime is 83675003144641. The next prime is 83675003144669. The reversal of 83675003144668 is 86644130057638.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83675003144669) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2496179748 + ... + 2496213268.

It is an arithmetic number, because the mean of its divisors is an integer number (1156677146352).

Almost surely, 283675003144668 is an apocalyptic number.

It is an amenable number.

83675003144668 is a deficient number, since it is larger than the sum of its proper divisors (82886505930020).

83675003144668 is a wasteful number, since it uses less digits than its factorization.

83675003144668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34364 (or 34315 counting only the distinct ones).

The product of its (nonzero) digits is 69672960, while the sum is 61.

The spelling of 83675003144668 in words is "eighty-three trillion, six hundred seventy-five billion, three million, one hundred forty-four thousand, six hundred sixty-eight".

Divisors: 1 2 4 13 26 31 47 52 62 94 124 188 403 611 701 806 1222 1402 1457 1612 2209 2444 2804 2914 4418 5828 8836 9113 18226 18941 21731 28717 32947 33521 36452 37882 43462 57434 65894 67042 68479 75764 86924 114868 131788 134084 136958 273916 282503 428311 435773 565006 856622 871546 890227 1021357 1039151 1130012 1548509 1575487 1713244 1743092 1780454 2042714 2078302 3097018 3150974 3560908 4085428 4156604 6194036 6301948 13277641 13508963 20130617 20481331 23498221 26555282 27017926 40261234 40962662 46996442 48003779 48840097 53110564 54035852 74047889 80522468 81925324 93992884 96007558 97680194 148095778 192015116 195360388 296191556 305476873 610953746 624049127 634921261 728444851 962622557 1104416387 1221907492 1248098254 1269842522 1456889702 1925245114 2208832774 2295484559 2496196508 2539685044 2913779404 3850490228 4417665548 4590969118 9181938236 9469783063 14357413031 18939566126 28714826062 29841299267 34236907997 37879132252 51907570189 57429652124 59682598534 68473815994 103815140378 119365197068 136947631988 207630280756 445079803961 674798412457 890159607922 1349596824914 1609134675859 1780319215844 2699193649828 3218269351718 6436538703436 20918750786167 41837501572334 83675003144668