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21832500426 = 2311712211311
BaseRepresentation
bin10100010101010100…
…011000010011001010
32002100112200221020220
4110111110120103022
5324203110003201
614010230130510
71402013122512
oct242524302312
962315627226
1021832500426
119293971790
1242937b0a36
13209c236b09
1410b181c842
1587ba94036
hex5155184ca

21832500426 has 96 divisors (see below), whose sum is σ = 48699975168. Its totient is φ = 6470940000.

The previous prime is 21832500401. The next prime is 21832500457. The reversal of 21832500426 is 62400523812.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70200811 + ... + 70201121.

It is an arithmetic number, because the mean of its divisors is an integer number (507291408).

Almost surely, 221832500426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21832500426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24349987584).

21832500426 is an abundant number, since it is smaller than the sum of its proper divisors (26867474742).

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

21832500426 is a wasteful number, since it uses less digits than its factorization.

21832500426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 21832500426 in words is "twenty-one billion, eight hundred thirty-two million, five hundred thousand, four hundred twenty-six".

Divisors: 1 2 3 6 11 22 33 66 71 142 211 213 311 422 426 622 633 781 933 1266 1562 1866 2321 2343 3421 4642 4686 5041 6842 6963 10082 10263 13926 14981 15123 20526 22081 29962 30246 44162 44943 55451 65621 66243 89886 110902 131242 132486 164791 166353 196863 242891 329582 332706 393726 485782 494373 721831 728673 988746 1063651 1443662 1457346 1567751 2127302 2165493 3135502 3190953 4330986 4659091 4703253 6381906 9318182 9406506 11700161 13977273 17245261 23400322 27954546 34490522 35100483 51250001 51735783 70200966 102500002 103471566 153750003 307500006 330795461 661590922 992386383 1984772766 3638750071 7277500142 10916250213 21832500426