Search a number
-
+
561357885888 = 26329071074509
BaseRepresentation
bin10000010101100111000…
…10011001000111000000
31222122221222220021020200
420022303202121013000
533144130104322023
61105514555405200
755361654205132
oct10126342310700
91878858807220
10561357885888
111a708598a2a8
1290965753800
1340c21ccc827
141d254185052
15e9076ac743
hex82b38991c0

561357885888 has 84 divisors (see below), whose sum is σ = 1610806537080. Its totient is φ = 186912815616.

The previous prime is 561357885863. The next prime is 561357885899. The reversal of 561357885888 is 888588753165.

It is a happy number.

561357885888 is a `hidden beast` number, since 5 + 6 + 1 + 35 + 7 + 8 + 8 + 588 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14823 + ... + 1059686.

Almost surely, 2561357885888 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 561357885888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (805403268540).

561357885888 is an abundant number, since it is smaller than the sum of its proper divisors (1049448651192).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

561357885888 is a wasteful number, since it uses less digits than its factorization.

561357885888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1075434 (or 1075421 counting only the distinct ones).

The product of its digits is 516096000, while the sum is 72.

The spelling of 561357885888 in words is "five hundred sixty-one billion, three hundred fifty-seven million, eight hundred eighty-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 907 1814 2721 3628 5442 7256 8163 10884 14512 16326 21768 29024 32652 43536 58048 65304 87072 130608 174144 261216 522432 1074509 2149018 3223527 4298036 6447054 8596072 9670581 12894108 17192144 19341162 25788216 34384288 38682324 51576432 68768576 77364648 103152864 154729296 206305728 309458592 618917184 974579663 1949159326 2923738989 3898318652 5847477978 7796637304 8771216967 11694955956 15593274608 17542433934 23389911912 31186549216 35084867868 46779823824 62373098432 70169735736 93559647648 140339471472 187119295296 280678942944 561357885888