Search a number
-
+
41973641829 = 347619712511
BaseRepresentation
bin100111000101110100…
…101111001001100101
311000100012210221010000
4213011310233021211
51141430223014304
631141000451513
73014101032420
oct470564571145
9130305727100
1041973641829
111688a032399
128174a79b99
133c5bc2b472
1420627649b7
151159dde939
hex9c5d2f265

41973641829 has 80 divisors (see below), whose sum is σ = 73590178816. Its totient is φ = 23346662400.

The previous prime is 41973641813. The next prime is 41973641833. The reversal of 41973641829 is 92814637914.

41973641829 is a `hidden beast` number, since 4 + 197 + 36 + 418 + 2 + 9 = 666.

It is not a de Polignac number, because 41973641829 - 24 = 41973641813 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41973641029) 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 79 ways as a sum of consecutive naturals, for example, 3348684 + ... + 3361194.

Almost surely, 241973641829 is an apocalyptic number.

It is an amenable number.

41973641829 is a deficient number, since it is larger than the sum of its proper divisors (31616536987).

41973641829 is a wasteful number, since it uses less digits than its factorization.

41973641829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12688 (or 12679 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 41973641829 in words is "forty-one billion, nine hundred seventy-three million, six hundred forty-one thousand, eight hundred twenty-nine".

Divisors: 1 3 7 9 21 27 61 63 81 97 183 189 291 427 549 567 679 873 1281 1647 2037 2619 3843 4941 5917 6111 7857 11529 12511 17751 18333 34587 37533 41419 53253 54999 87577 112599 124257 159759 262731 337797 372771 479277 763171 788193 1013391 1118313 1213567 2289513 2364579 3354939 3640701 5342197 6868539 7093737 8494969 10922103 16026591 20605617 25484907 32766309 48079773 61816851 74027587 76454721 98298927 144239319 222082761 229364163 432717957 518193109 666248283 688092489 1554579327 1998744849 4663737981 5996234547 13991213943 41973641829