Search a number
-
+
557642511963 = 33137210492
BaseRepresentation
bin10000001110101100001…
…01010111011001011011
31222022101001202201101000
420013112011113121123
533114022440340323
61104102154200043
755200621100155
oct10072605273133
91868331681330
10557642511963
111a5549729939
12900a9423023
134077c355314
141cdc0961ad5
15e78b40ae43
hex81d615765b

557642511963 has 36 divisors (see below), whose sum is σ = 833005362280. Its totient is φ = 368696276352.

The previous prime is 557642511931. The next prime is 557642512001. The reversal of 557642511963 is 369115246755.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

557642511963 is a `hidden beast` number, since 5 + 5 + 7 + 64 + 2 + 511 + 9 + 63 = 666.

557642511963 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 557642511963 - 25 = 557642511931 is a prime.

It is a super-2 number, since 2×5576425119632 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (557642511913) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 531593863 + ... + 531594911.

Almost surely, 2557642511963 is an apocalyptic number.

557642511963 is a deficient number, since it is larger than the sum of its proper divisors (275362850317).

557642511963 is an frugal number, since it uses more digits than its factorization.

557642511963 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2381 (or 1189 counting only the distinct ones).

The product of its digits is 6804000, while the sum is 54.

The spelling of 557642511963 in words is "five hundred fifty-seven billion, six hundred forty-two million, five hundred eleven thousand, nine hundred sixty-three".

Divisors: 1 3 9 27 137 411 1049 1233 3147 3699 9441 18769 28323 56307 143713 168921 431139 506763 1100401 1293417 3301203 3880251 9903609 19688681 29710827 59066043 150754937 177198129 452264811 531594387 1356794433 4070383299 20653426369 61960279107 185880837321 557642511963