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855217132385 = 57211230019613
BaseRepresentation
bin11000111000111101110…
…10011101001101100001
310000202110112220200210212
430130132322131031201
5103002441041214020
61452514211103505
7115534035453200
oct14343672351541
93022415820725
10855217132385
112aa771859600
121198b65a1b95
1362853850385
142d56d919237
15173a5bcdcc5
hexc71ee9d361

855217132385 has 72 divisors (see below), whose sum is σ = 1312781816808. Its totient is φ = 532889280000.

The previous prime is 855217132381. The next prime is 855217132411. The reversal of 855217132385 is 583231712558.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 357306258001 + 497910874384 = 597751^2 + 705628^2 .

It is not a de Polignac number, because 855217132385 - 22 = 855217132381 is a prime.

It is not an unprimeable number, because it can be changed into a prime (855217132381) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 88959839 + ... + 88969451.

It is an arithmetic number, because the mean of its divisors is an integer number (18233080789).

Almost surely, 2855217132385 is an apocalyptic number.

It is an amenable number.

855217132385 is a deficient number, since it is larger than the sum of its proper divisors (457564684423).

855217132385 is a wasteful number, since it uses less digits than its factorization.

855217132385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12655 (or 12637 counting only the distinct ones).

The product of its digits is 2016000, while the sum is 50.

The spelling of 855217132385 in words is "eight hundred fifty-five billion, two hundred seventeen million, one hundred thirty-two thousand, three hundred eighty-five".

Divisors: 1 5 7 11 35 49 55 77 121 245 385 539 605 847 2695 3001 4235 5929 9613 15005 21007 29645 33011 48065 67291 105035 105743 147049 165055 231077 336455 363121 471037 528715 735245 740201 1155385 1163173 1617539 1815605 2355185 2541847 3701005 5181407 5815865 8087695 8142211 12709235 17792929 25907035 28848613 40711055 56995477 88964645 144243065 201940291 284977385 317334743 1009701455 1413582037 1586673715 2221343201 3490682173 7067910185 11106716005 15549402407 17453410865 24434775211 77747012035 122173876055 171043426477 855217132385