Search a number
-
+
133356002441022 = 23235957754436571
BaseRepresentation
bin11110010100100101011101…
…001001110111011100111110
3122111011201011002200100201100
4132110211131021313130332
5114434401043111103042
61151342522441153530
740042440025610064
oct3624453511673476
9574151132610640
10133356002441022
1139544a65881009
1212b5935348b8a6
1359545563c554a
1424d0671bb0034
151063d67cac24c
hex79495d27773e

133356002441022 has 96 divisors (see below), whose sum is σ = 290342503676160. Its totient is φ = 44236490757120.

The previous prime is 133356002441017. The next prime is 133356002441033. The reversal of 133356002441022 is 220144200653331.

133356002441022 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 5 + 600 + 2 + 4 + 41 + 0 + 2 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20294624997 + ... + 20294631567.

It is an arithmetic number, because the mean of its divisors is an integer number (3024401079960).

Almost surely, 2133356002441022 is an apocalyptic number.

133356002441022 is an abundant number, since it is smaller than the sum of its proper divisors (156986501235138).

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

133356002441022 is a wasteful number, since it uses less digits than its factorization.

133356002441022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12958 (or 12955 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 36.

The spelling of 133356002441022 in words is "one hundred thirty-three trillion, three hundred fifty-six billion, two million, four hundred forty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 359 577 718 1077 1154 1731 2154 3231 3462 5193 5443 6462 6571 10386 10886 13142 16329 19713 32658 39426 48987 59139 97974 118278 207143 414286 621429 1242858 1864287 1954037 2358989 3140611 3728574 3791467 3908074 4717978 5862111 6281222 7076967 7582934 9421833 11374401 11724222 14153934 17586333 18843666 21230901 22748802 28265499 34123203 35172666 35765953 42461802 56530998 68246406 71531906 107297859 214595718 321893577 643787154 1127479349 1361136653 2254958698 2722273306 3382438047 4083409959 6764876094 8166819918 10147314141 12250229877 12839977127 20294628282 20636954881 24500459754 25679954254 38519931381 41273909762 61910864643 77039862762 115559794143 123821729286 185732593929 231119588286 371465187858 7408666802279 14817333604558 22226000406837 44452000813674 66678001220511 133356002441022