Search a number
-
+
41633166656341 = 13315771783100417
BaseRepresentation
bin10010111011101011110100…
…00111000000001101010101
312110102002110222010012112001
421131311322013000031111
520424104211131000331
6224314002425355301
711524616452423621
oct1135657207001525
9173362428105461
1041633166656341
11122a1588226347
124804953338b31
131a2ccb594b530
14a3d0ad9da181
154c2e92e3d561
hex25dd7a1c0355

41633166656341 has 32 divisors (see below), whose sum is σ = 46388707248128. Its totient is φ = 37105270456320.

The previous prime is 41633166656329. The next prime is 41633166656351. The reversal of 41633166656341 is 14365666133614.

41633166656341 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 41633166656341 - 25 = 41633166656309 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41633166656351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 414552565 + ... + 414652981.

It is an arithmetic number, because the mean of its divisors is an integer number (1449647101504).

Almost surely, 241633166656341 is an apocalyptic number.

It is an amenable number.

41633166656341 is a deficient number, since it is larger than the sum of its proper divisors (4755540591787).

41633166656341 is a wasteful number, since it uses less digits than its factorization.

41633166656341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102821.

The product of its digits is 16796160, while the sum is 55.

The spelling of 41633166656341 in words is "forty-one trillion, six hundred thirty-three billion, one hundred sixty-six million, six hundred fifty-six thousand, three hundred forty-one".

Divisors: 1 13 31 403 577 1783 7501 17887 23179 55273 100417 232531 718549 1028791 1305421 3112927 13374283 31892521 40468051 57940609 179043511 414602773 753227917 1796158879 2327565643 5550348841 23350065427 72154534933 103308105847 1343005376011 3202551281257 41633166656341