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21047133204 = 22332325213361
BaseRepresentation
bin10011100110100000…
…011100010000010100
32000022210220010222000
4103212200130100110
5321101031230304
613400253035300
71343365452246
oct234640342024
960283803860
1021047133204
118a20615769
1240b4785b30
131ca5608396
1410393c2096
15832b5c939
hex4e681c414

21047133204 has 96 divisors (see below), whose sum is σ = 56978638080. Its totient is φ = 6706022400.

The previous prime is 21047133199. The next prime is 21047133221. The reversal of 21047133204 is 40233174012.

It is a happy number.

It is a super-2 number, since 2×210471332042 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6260484 + ... + 6263844.

It is an arithmetic number, because the mean of its divisors is an integer number (593527480).

Almost surely, 221047133204 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 21047133204, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28489319040).

21047133204 is an abundant number, since it is smaller than the sum of its proper divisors (35931504876).

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

21047133204 is a wasteful number, since it uses less digits than its factorization.

21047133204 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5918 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The spelling of 21047133204 in words is "twenty-one billion, forty-seven million, one hundred thirty-three thousand, two hundred four".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 828 1242 2484 2521 3361 5042 6722 7563 10083 10084 13444 15126 20166 22689 30249 30252 40332 45378 57983 60498 68067 77303 90747 90756 115966 120996 136134 154606 173949 181494 231909 231932 272268 309212 347898 362988 463818 521847 695727 695796 927636 1043694 1391454 1565541 2087181 2087388 2782908 3131082 4174362 6262164 8348724 8473081 16946162 25419243 33892324 50838486 76257729 101676972 152515458 194880863 228773187 305030916 389761726 457546374 584642589 779523452 915092748 1169285178 1753927767 2338570356 3507855534 5261783301 7015711068 10523566602 21047133204