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21820199472 = 2433103148991
BaseRepresentation
bin10100010100100101…
…011101001000110000
32002022200112222112000
4110110211131020300
5324141432340342
614005110334000
71401503430621
oct242445351060
962280488460
1021820199472
119287a2a905
12428b65a300
13209981ab46
1410add39a48
1587a96444c
hex51495d230

21820199472 has 80 divisors (see below), whose sum is σ = 62694082560. Its totient is φ = 7266196800.

The previous prime is 21820199441. The next prime is 21820199519. The reversal of 21820199472 is 27499102812.

It is a super-2 number, since 2×218201994722 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 420897 + ... + 469887.

It is an arithmetic number, because the mean of its divisors is an integer number (783676032).

Almost surely, 221820199472 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 21820199472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31347041280).

21820199472 is an abundant number, since it is smaller than the sum of its proper divisors (40873883088).

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

21820199472 is a wasteful number, since it uses less digits than its factorization.

21820199472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50039 (or 50027 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 21820199472 in words is "twenty-one billion, eight hundred twenty million, one hundred ninety-nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1031 2062 3093 4124 6186 8248 9279 12372 16496 18558 24744 27837 37116 48991 49488 55674 74232 97982 111348 146973 148464 195964 222696 293946 391928 440919 445392 587892 783856 881838 1175784 1322757 1763676 2351568 2645514 3527352 5291028 7054704 10582056 21164112 50509721 101019442 151529163 202038884 303058326 404077768 454587489 606116652 808155536 909174978 1212233304 1363762467 1818349956 2424466608 2727524934 3636699912 5455049868 7273399824 10910099736 21820199472