Search a number
-
+
20831975199 = 357283107197
BaseRepresentation
bin10011011001101011…
…101011011100011111
31222202211000222200000
4103121223223130133
5320130441201244
613323045305343
71335143603400
oct233153533437
958684028600
1020831975199
11892011a332
124054705253
131c6cb74859
1410189b59a7
1581dd0c169
hex4d9aeb71f

20831975199 has 144 divisors (see below), whose sum is σ = 37268719488. Its totient is φ = 11591512128.

The previous prime is 20831975189. The next prime is 20831975239. The reversal of 20831975199 is 99157913802.

20831975199 is a `hidden beast` number, since 2 + 0 + 8 + 31 + 97 + 519 + 9 = 666.

It is not a de Polignac number, because 20831975199 - 29 = 20831974687 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20831975189) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 105745969 + ... + 105746165.

It is an arithmetic number, because the mean of its divisors is an integer number (258810552).

Almost surely, 220831975199 is an apocalyptic number.

20831975199 is a deficient number, since it is larger than the sum of its proper divisors (16436744289).

20831975199 is a wasteful number, since it uses less digits than its factorization.

20831975199 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 20831975199 in words is "twenty billion, eight hundred thirty-one million, nine hundred seventy-five thousand, one hundred ninety-nine".

Divisors: 1 3 7 9 21 27 49 63 81 83 107 147 189 197 243 249 321 441 567 581 591 747 749 963 1323 1379 1701 1743 1773 2241 2247 2889 3969 4067 4137 5229 5243 5319 6723 6741 8667 8881 9653 11907 12201 12411 15687 15729 15957 16351 20169 20223 21079 26001 26643 28959 36603 37233 47061 47187 47871 49053 60669 62167 63237 79929 86877 109809 111699 114457 141183 141561 147159 147553 182007 186501 189711 239787 260631 329427 335097 343371 424683 435169 441477 442659 559503 569133 719361 781893 801199 988281 1030113 1032871 1274049 1305507 1324431 1327977 1678509 1707399 1749557 2158083 2345679 2403597 3090339 3098613 3916521 3973293 3983931 5035527 5122197 5248671 7210791 9271017 9295839 11749563 11951793 12246899 15106581 15746013 21632373 27813051 27887517 35248689 35855379 36740697 47238039 64897119 83662551 85728293 105746067 110222091 141714117 194691357 250987653 257184879 330666273 425142351 771554637 991998819 2314663911 2975996457 6943991733 20831975199