Search a number
-
+
1336275000918 = 23211131134594189
BaseRepresentation
bin10011011100100000001…
…100100101111001010110
311201202011022011102121200
4103130200030211321112
5133343142400012133
62501513134453330
7165354066045504
oct23344014457126
94652138142550
101336275000918
114757904462a0
12196b8b964246
1399019512420
1448967149674
1524b5d8a8913
hex13720325e56

1336275000918 has 96 divisors (see below), whose sum is σ = 3431529148320. Its totient is φ = 370475320320.

The previous prime is 1336275000899. The next prime is 1336275000919. The reversal of 1336275000918 is 8190005726331.

1336275000918 is a `hidden beast` number, since 1 + 3 + 3 + 627 + 5 + 0 + 0 + 0 + 9 + 18 = 666.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1336275000919) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2006233 + ... + 2587956.

It is an arithmetic number, because the mean of its divisors is an integer number (35745095295).

Almost surely, 21336275000918 is an apocalyptic number.

1336275000918 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

1336275000918 is an abundant number, since it is smaller than the sum of its proper divisors (2095254147402).

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

1336275000918 is a wasteful number, since it uses less digits than its factorization.

1336275000918 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4594334 (or 4594331 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1336275000918 in words is "one trillion, three hundred thirty-six billion, two hundred seventy-five million, nine hundred eighteen", and thus it is an aban number.

Divisors: 1 2 3 6 9 11 13 18 22 26 33 39 66 78 99 113 117 143 198 226 234 286 339 429 678 858 1017 1243 1287 1469 2034 2486 2574 2938 3729 4407 7458 8814 11187 13221 16159 22374 26442 32318 48477 96954 145431 290862 4594189 9188378 13782567 27565134 41347701 50536079 59724457 82695402 101072158 119448914 151608237 179173371 303216474 358346742 454824711 519143357 537520113 656969027 909649422 1038286714 1075040226 1313938054 1557430071 1970907081 3114860142 3941814162 4672290213 5710576927 5912721243 6748863641 9344580426 11421153854 11825442486 13497727282 17131730781 20246590923 34263461562 40493181846 51395192343 60739772769 74237500051 102790384686 121479545538 148475000102 222712500153 445425000306 668137500459 1336275000918