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21132583614 = 2342275091129
BaseRepresentation
bin10011101011100110…
…011010001010111110
32000112202200110220000
4103223212122022332
5321234420133424
613412544335130
71345453665642
oct235346321276
960482613800
1021132583614
118a6487993a
1241193144a6
131cba22655c
1410468a6c22
1583a3db3c9
hex4eb99a2be

21132583614 has 80 divisors (see below), whose sum is σ = 47696893200. Its totient is φ = 6993184896.

The previous prime is 21132583613. The next prime is 21132583621. The reversal of 21132583614 is 41638523112.

21132583614 is a `hidden beast` number, since 2 + 1 + 1 + 32 + 5 + 8 + 3 + 614 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21132583613) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18717402 + ... + 18718530.

It is an arithmetic number, because the mean of its divisors is an integer number (596211165).

Almost surely, 221132583614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21132583614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848446600).

21132583614 is an abundant number, since it is smaller than the sum of its proper divisors (26564309586).

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

21132583614 is a wasteful number, since it uses less digits than its factorization.

21132583614 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1879 (or 1870 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The spelling of 21132583614 in words is "twenty-one billion, one hundred thirty-two million, five hundred eighty-three thousand, six hundred fourteen".

Divisors: 1 2 3 6 9 18 27 54 81 162 227 454 509 681 1018 1129 1362 1527 2043 2258 3054 3387 4086 4581 6129 6774 9162 10161 12258 13743 18387 20322 27486 30483 36774 41229 60966 82458 91449 115543 182898 231086 256283 346629 512566 574661 693258 768849 1039887 1149322 1537698 1723983 2079774 2306547 3119661 3447966 4613094 5171949 6239322 6919641 9358983 10343898 13839282 15515847 18717966 20758923 31031694 41517846 46547541 93095082 130448047 260896094 391344141 782688282 1174032423 2348064846 3522097269 7044194538 10566291807 21132583614