Search a number
-
+
21146681184 = 2531949113021
BaseRepresentation
bin10011101100011100…
…001011111101100000
32000120202012201010020
4103230130023331200
5321302022244214
613414210433440
71346014552506
oct235434137540
960522181106
1021146681184
118a71828622
124121b92880
131cc0121205
1410486d6676
1583b7734a9
hex4ec70bf60

21146681184 has 48 divisors (see below), whose sum is σ = 55539010800. Its totient is φ = 7045214720.

The previous prime is 21146681173. The next prime is 21146681207. The reversal of 21146681184 is 48118664112.

It is a tau number, because it is divible by the number of its divisors (48).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 130594 + ... + 243614.

It is an arithmetic number, because the mean of its divisors is an integer number (1157062725).

Almost surely, 221146681184 is an apocalyptic number.

21146681184 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21146681184 is an abundant number, since it is smaller than the sum of its proper divisors (34392329616).

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

21146681184 is a wasteful number, since it uses less digits than its factorization.

21146681184 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114983 (or 114975 counting only the distinct ones).

The product of its digits is 73728, while the sum is 42.

The spelling of 21146681184 in words is "twenty-one billion, one hundred forty-six million, six hundred eighty-one thousand, one hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1949 3898 5847 7796 11694 15592 23388 31184 46776 62368 93552 113021 187104 226042 339063 452084 678126 904168 1356252 1808336 2712504 3616672 5425008 10850016 220277929 440555858 660833787 881111716 1321667574 1762223432 2643335148 3524446864 5286670296 7048893728 10573340592 21146681184