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133420134991059 = 32714952329539203
BaseRepresentation
bin11110010101100001001011…
…110000001000010011010011
3122111101211200121101110101100
4132111201023300020103103
5114441423414024203214
61151432210332235443
740050200215362450
oct3625411360102323
9574354617343340
10133420134991059
113956a185a46084
1212b6987130bb83
13595a6070734c7
1424d37d743c827
15106586d219309
hex79584bc084d3

133420134991059 has 96 divisors (see below), whose sum is σ = 222250622630400. Its totient is φ = 75549796913664.

The previous prime is 133420134991027. The next prime is 133420134991067. The reversal of 133420134991059 is 950199431024331.

133420134991059 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 201 + 349 + 91 + 0 + 5 + 9 = 666.

It is not a de Polignac number, because 133420134991059 - 25 = 133420134991027 is a prime.

It is a super-2 number, since 2×1334201349910592 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133420134990996 and 133420134991014.

It is not an unprimeable number, because it can be changed into a prime (133420134991019) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14497456552 + ... + 14497465754.

It is an arithmetic number, because the mean of its divisors is an integer number (2315110652400).

Almost surely, 2133420134991059 is an apocalyptic number.

133420134991059 is a deficient number, since it is larger than the sum of its proper divisors (88830487639341).

133420134991059 is a wasteful number, since it uses less digits than its factorization.

133420134991059 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12841 (or 12838 counting only the distinct ones).

The product of its (nonzero) digits is 3149280, while the sum is 54.

The spelling of 133420134991059 in words is "one hundred thirty-three trillion, four hundred twenty billion, one hundred thirty-four million, nine hundred ninety-one thousand, fifty-nine".

Divisors: 1 3 7 9 21 63 149 447 523 1043 1341 1569 2953 3129 3661 4707 8859 9203 9387 10983 20671 26577 27609 32949 62013 64421 77927 82827 186039 193263 233781 439997 545489 579789 701343 1319991 1371247 1544419 1636467 3079979 3959973 4113741 4633257 4813169 4909401 9239937 9598729 10810933 12341223 13899771 14439507 27176459 27719811 28796187 32432799 33692183 43318521 81529377 86388561 97298397 101076549 190235213 230118431 244588131 303229647 570705639 690355293 717162181 1610829017 1712116917 2071065879 2151486543 4049292391 4832487051 5020135267 6454459629 12147877173 14213288057 14497461153 15060405801 28345046737 36443631519 42639864171 45181217403 85035140211 99493016399 127919592513 255105420633 298479049197 895437147591 2117779920493 6353339761479 14824459443451 19060019284437 44473378330353 133420134991059