Search a number
-
+
136898915545161 = 3272112506512
BaseRepresentation
bin11111001000001001000011…
…001110110011000001001001
3122221201102000210201220112100
4133020021003032303001021
5120420422434334421121
61203054254340504013
740556422514243400
oct3710110316630111
9587642023656470
10136898915545161
113a69055a972500
121342bb159ab009
135b50687803c13
1425b3d2b320637
1510c60c5748026
hex7c82433b3049

136898915545161 has 81 divisors (see below), whose sum is σ = 252845059066509. Its totient is φ = 71114915718000.

The previous prime is 136898915545151. The next prime is 136898915545219. The reversal of 136898915545161 is 161545519898631.

The square root of 136898915545161 is 11700381.

It is a perfect power (a square), and thus also a powerful number.

136898915545161 is a `hidden beast` number, since 1 + 3 + 6 + 8 + 9 + 8 + 9 + 1 + 554 + 5 + 1 + 61 = 666.

It is not a de Polignac number, because 136898915545161 - 213 = 136898915536969 is a prime.

It is a super-2 number, since 2×1368989155451612 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 136898915545161.

It is not an unprimeable number, because it can be changed into a prime (136898915545151) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2702762686 + ... + 2702813336.

Almost surely, 2136898915545161 is an apocalyptic number.

136898915545161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

136898915545161 is the 11700381-st square number.

136898915545161 is the 5850191-st centered octagonal number.

It is an amenable number.

136898915545161 is a deficient number, since it is larger than the sum of its proper divisors (115946143521348).

136898915545161 is an frugal number, since it uses more digits than its factorization.

136898915545161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101344 (or 50672 counting only the distinct ones).

The product of its digits is 279936000, while the sum is 72.

The spelling of 136898915545161 in words is "one hundred thirty-six trillion, eight hundred ninety-eight billion, nine hundred fifteen million, five hundred forty-five thousand, one hundred sixty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2541 4851 5929 7623 17787 50651 53361 151953 354557 455859 557161 1063671 1671483 2481899 3191013 3900127 5014449 6128771 7445697 11700381 18386313 22337091 27300889 35101143 42901397 55158939 81902667 128704191 245708001 300309779 386112573 900929337 2565523801 2702788011 7696571403 17958666607 23089714209 28220761811 53875999821 84662285433 125710666249 161627999463 197545332677 253986856299 310428379921 377131998747 592635998031 931285139763 1131395996241 1382817328739 1777907994093 2172998659447 2793855419289 4148451986217 6518995978341 12445355958651 15210990616129 19556987935023 45632971848387 136898915545161