Search a number
-
+
263013401675661 = 37138348723834617
BaseRepresentation
bin111011110011010110010100…
…011000001100011110001101
31021111020211120011220111212120
4323303112110120030132031
5233433202421312110121
62331214404431523153
7106254043165136130
oct7363262430143615
91244224504814776
10263013401675661
11768933a255643a
12255b99140894b9
13b39b099019160
1448d3cb909c217
1520618aebccbc6
hexef359460c78d

263013401675661 has 64 divisors (see below), whose sum is σ = 437708840153088. Its totient is φ = 136779424823808.

The previous prime is 263013401675611. The next prime is 263013401675663. The reversal of 263013401675661 is 166576104310362.

It is not a de Polignac number, because 263013401675661 - 221 = 263013399578509 is a prime.

It is a super-2 number, since 2×2630134016756612 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (263013401675663) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882376 + ... + 22952241.

It is an arithmetic number, because the mean of its divisors is an integer number (6839200627392).

Almost surely, 2263013401675661 is an apocalyptic number.

263013401675661 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

263013401675661 is a deficient number, since it is larger than the sum of its proper divisors (174695438477427).

263013401675661 is a wasteful number, since it uses less digits than its factorization.

263013401675661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23835210.

The product of its (nonzero) digits is 3265920, while the sum is 51.

The spelling of 263013401675661 in words is "two hundred sixty-three trillion, thirteen billion, four hundred one million, six hundred seventy-five thousand, six hundred sixty-one".

Divisors: 1 3 7 13 21 39 83 91 249 273 487 581 1079 1461 1743 3237 3409 6331 7553 10227 18993 22659 40421 44317 121263 132951 282947 525473 848841 1576419 3678311 11034933 23834617 71503851 166842319 309850021 500526957 929550063 1978273211 2168950147 5934819633 6506850441 11607458479 13847912477 25717551743 34822375437 41543737431 77152655229 81252209353 150896960227 180022862201 243756628059 452690880681 540068586603 963419053757 1056278721589 2890257161271 3168836164767 6743933376299 12524447698841 20231800128897 37573343096523 87671133891887 263013401675661