Search a number
-
+
41691708864 = 2632135567803
BaseRepresentation
bin100110110101000001…
…001111110111000000
310222121120022020210100
4212311001033313000
51140341034140424
631053010002400
73004105451421
oct466501176700
9128546266710
1041691708864
1116754978a43
1280b6576400
133c156b8020
142037135648
15114029ddc9
hex9b504fdc0

41691708864 has 84 divisors (see below), whose sum is σ = 128694221656. Its totient is φ = 12828215808.

The previous prime is 41691708841. The next prime is 41691708869. The reversal of 41691708864 is 46880719614.

41691708864 is a `hidden beast` number, since 416 + 91 + 7 + 0 + 88 + 64 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 41691708864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41691708869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2776414 + ... + 2791389.

Almost surely, 241691708864 is an apocalyptic number.

It is an amenable number.

41691708864 is an abundant number, since it is smaller than the sum of its proper divisors (87002512792).

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

41691708864 is a wasteful number, since it uses less digits than its factorization.

41691708864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5567834 (or 5567821 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 41691708864 in words is "forty-one billion, six hundred ninety-one million, seven hundred eight thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 5567803 11135606 16703409 22271212 33406818 44542424 50110227 66813636 72381439 89084848 100220454 133627272 144762878 178169696 200440908 217144317 267254544 289525756 356339392 400881816 434288634 534509088 579051512 651432951 801763632 868577268 1069018176 1158103024 1302865902 1603527264 1737154536 2316206048 2605731804 3207054528 3474309072 4632412096 5211463608 6948618144 10422927216 13897236288 20845854432 41691708864