Search a number
-
+
58002661197 = 361323115187
BaseRepresentation
bin110110000001001110…
…100101111101001101
312112201022020111000000
4312001032211331031
51422242140124242
642351314154513
74122234325335
oct660116457515
9175638214000
1058002661197
1122664a98938
12b2a8b82a39
135614a05200
142b434cc0c5
151797218a4c
hexd813a5f4d

58002661197 has 84 divisors (see below), whose sum is σ = 97212434304. Its totient is φ = 34540253280.

The previous prime is 58002661151. The next prime is 58002661229. The reversal of 58002661197 is 79116620085.

58002661197 is a `hidden beast` number, since 5 + 8 + 0 + 0 + 26 + 611 + 9 + 7 = 666.

It is not a de Polignac number, because 58002661197 - 212 = 58002657101 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58002661147) 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 83 ways as a sum of consecutive naturals, for example, 3811638 + ... + 3826824.

Almost surely, 258002661197 is an apocalyptic number.

It is an amenable number.

58002661197 is a deficient number, since it is larger than the sum of its proper divisors (39209773107).

58002661197 is a wasteful number, since it uses less digits than its factorization.

58002661197 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15262 (or 15234 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 58002661197 in words is "fifty-eight billion, two million, six hundred sixty-one thousand, one hundred ninety-seven".

Divisors: 1 3 9 13 27 31 39 81 93 117 169 243 279 351 403 507 729 837 1053 1209 1521 2511 3159 3627 4563 5239 7533 9477 10881 13689 15187 15717 22599 32643 41067 45561 47151 97929 123201 136683 141453 197431 293787 410049 424359 470797 592293 1230147 1273077 1412391 1776879 2566603 3690441 3819231 4237173 5330637 6120361 7699809 11071323 12711519 15991911 18361083 23099427 38134557 47975733 55083249 69298281 79564693 114403671 143927199 165249747 207894843 238694079 343211013 495749241 623684529 716082237 1487247723 1871053587 2148246711 4461743169 6444740133 19334220399 58002661197