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21838851846 = 232736915119
BaseRepresentation
bin10100010101101100…
…100110111100000110
32002100222122121202200
4110111230212330012
5324211221224341
614011014215330
71402121115000
oct242554467406
962328577680
1021838851846
11929750a699
124295954546
1320a064ba56
1410b25d3370
1587c3eadb6
hex515b26f06

21838851846 has 96 divisors (see below), whose sum is σ = 55271424000. Its totient is φ = 6229424880.

The previous prime is 21838851823. The next prime is 21838851847. The reversal of 21838851846 is 64815883812.

21838851846 is a `hidden beast` number, since 2 + 1 + 8 + 3 + 88 + 518 + 46 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 21838851792 and 21838851801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21838851847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4263675 + ... + 4268793.

It is an arithmetic number, because the mean of its divisors is an integer number (575744000).

Almost surely, 221838851846 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21838851846, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27635712000).

21838851846 is an abundant number, since it is smaller than the sum of its proper divisors (33432572154).

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

21838851846 is a wasteful number, since it uses less digits than its factorization.

21838851846 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5839 (or 5822 counting only the distinct ones).

The product of its digits is 2949120, while the sum is 54.

The spelling of 21838851846 in words is "twenty-one billion, eight hundred thirty-eight million, eight hundred fifty-one thousand, eight hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 343 441 686 691 882 1029 1382 2058 2073 3087 4146 4837 5119 6174 6219 9674 10238 12438 14511 15357 29022 30714 33859 35833 43533 46071 67718 71666 87066 92142 101577 107499 203154 214998 237013 250831 304731 322497 474026 501662 609462 644994 711039 752493 1422078 1504986 1755817 2133117 2257479 3511634 3537229 4266234 4514958 5267451 7074458 10534902 10611687 15802353 21223374 24760603 31604706 31835061 49521206 63670122 74281809 148563618 173324221 222845427 346648442 445690854 519972663 1039945326 1213269547 1559917989 2426539094 3119835978 3639808641 7279617282 10919425923 21838851846