Search a number
-
+
85458466557 = 3417438317389
BaseRepresentation
bin100111110010110111…
…0001011011011111101
322011120202011220110000
41033211232023123331
52400004331412212
6103131543304513
76113511660162
oct1174556133375
9264522156400
1085458466557
1133274092872
121468ba4b139
13809bc65c99
1441c9aa0069
1523527d71dc
hex13e5b8b6fd

85458466557 has 80 divisors (see below), whose sum is σ = 139987552320. Its totient is φ = 51740011008.

The previous prime is 85458466493. The next prime is 85458466571. The reversal of 85458466557 is 75566485458.

85458466557 is a `hidden beast` number, since 8 + 545 + 84 + 6 + 6 + 5 + 5 + 7 = 666.

It is not a de Polignac number, because 85458466557 - 26 = 85458466493 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85458466494 and 85458466503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85458466757) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4905819 + ... + 4923207.

It is an arithmetic number, because the mean of its divisors is an integer number (1749844404).

Almost surely, 285458466557 is an apocalyptic number.

It is an amenable number.

85458466557 is a deficient number, since it is larger than the sum of its proper divisors (54529085763).

85458466557 is a wasteful number, since it uses less digits than its factorization.

85458466557 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17544 (or 17535 counting only the distinct ones).

The product of its digits is 161280000, while the sum is 63.

The spelling of 85458466557 in words is "eighty-five billion, four hundred fifty-eight million, four hundred sixty-six thousand, five hundred fifty-seven".

Divisors: 1 3 9 17 27 43 51 81 83 129 153 249 387 459 731 747 1161 1377 1411 2193 2241 3483 3569 4233 6579 6723 10707 12699 17389 19737 32121 38097 52167 59211 60673 96363 114291 156501 182019 289089 295613 469503 546057 747727 886839 1408509 1443287 1638171 2243181 2660517 4329861 4914513 6729543 7981551 12711359 12989583 20188629 23944653 24535879 38134077 38968749 60565887 62061341 73607637 114402231 116906247 186184023 220822911 343206693 558552069 662468733 1029620079 1055042797 1675656207 1987406199 3165128391 5026968621 9495385173 28486155519 85458466557