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133462035644106 = 231310124181186677
BaseRepresentation
bin11110010110001000001101…
…001110011011111011001010
3122111112211211201212011201010
4132112020031032123323022
5114443120222111102411
61151503340204504350
740053212442143001
oct3626101516337312
9574484751764633
10133462035644106
1139585a27855964
1212b75a0584b0b6
135961553b27930
1424d5850203c38
1510669c19dc7a6
hex79620d39beca

133462035644106 has 128 divisors (see below), whose sum is σ = 291870183128832. Its totient is φ = 40439554560000.

The previous prime is 133462035644083. The next prime is 133462035644107. The reversal of 133462035644106 is 601446530264331.

It is a super-2 number, since 2×1334620356441062 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (133462035644107) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1539719640 + ... + 1539806316.

It is an arithmetic number, because the mean of its divisors is an integer number (2280235805694).

Almost surely, 2133462035644106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133462035644106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145935091564416).

133462035644106 is an abundant number, since it is smaller than the sum of its proper divisors (158408147484726).

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

133462035644106 is a wasteful number, since it uses less digits than its factorization.

133462035644106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87848.

The product of its (nonzero) digits is 3732480, while the sum is 48.

The spelling of 133462035644106 in words is "one hundred thirty-three trillion, four hundred sixty-two billion, thirty-five million, six hundred forty-four thousand, one hundred six".

Divisors: 1 2 3 6 13 26 39 78 101 202 241 303 482 606 723 811 1313 1446 1622 2433 2626 3133 3939 4866 6266 7878 9399 10543 18798 21086 24341 31629 48682 63258 73023 81911 86677 146046 163822 173354 195451 245733 260031 316433 390902 491466 520062 586353 632866 949299 1064843 1126801 1172706 1898598 2129686 2253602 2540863 3194529 3380403 5081726 6389058 6760806 7622589 8754377 15245178 17508754 19740551 20889157 26263131 39481102 41778314 52526262 59221653 62667471 70295047 113806901 118443306 125334942 140590094 210885141 227613802 256627163 271559041 341420703 421770282 513254326 543118082 682841406 769881489 814677123 913835611 1539762978 1629354246 1827671222 2109804857 2741506833 4219609714 5483013666 6329414571 7099799747 12658829142 14199599494 16941106327 21299399241 27427463141 33882212654 42598798482 50823318981 54854926282 82282389423 92297396711 101646637962 164564778846 184594793422 220234382251 276892190133 440468764502 553784380266 660703146753 1321406293506 1711051739027 3422103478054 5133155217081 10266310434162 22243672607351 44487345214702 66731017822053 133462035644106