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21906538016 = 2511101719857
BaseRepresentation
bin10100011001101110…
…110011111000100000
32002112201000102201212
4110121232303320200
5324331033204031
614021433045252
71403602333526
oct243156637040
962481012655
1021906538016
119321740280
1242b4556828
1320b168a33c
1410bb5b2316
1588331b12b
hex519bb3e20

21906538016 has 96 divisors (see below), whose sum is σ = 47636709120. Its totient is φ = 9833728000.

The previous prime is 21906538013. The next prime is 21906538037. The reversal of 21906538016 is 61083560912.

It is not an unprimeable number, because it can be changed into a prime (21906538013) 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 15 ways as a sum of consecutive naturals, for example, 25561460 + ... + 25562316.

It is an arithmetic number, because the mean of its divisors is an integer number (496215720).

Almost surely, 221906538016 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 21906538016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23818354560).

21906538016 is an abundant number, since it is smaller than the sum of its proper divisors (25730171104).

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

21906538016 is a wasteful number, since it uses less digits than its factorization.

21906538016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1698 (or 1690 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 41.

The spelling of 21906538016 in words is "twenty-one billion, nine hundred six million, five hundred thirty-eight thousand, sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 719 808 857 1111 1438 1616 1714 2222 2876 3232 3428 4444 5752 6856 7909 8888 9427 11504 13712 15818 17776 18854 23008 27424 31636 35552 37708 63272 72619 75416 86557 126544 145238 150832 173114 253088 290476 301664 346228 580952 616183 692456 798809 952127 1161904 1232366 1384912 1597618 1904254 2323808 2464732 2769824 3195236 3808508 4929464 6390472 6778013 7617016 9858928 12780944 13556026 15234032 19717856 25561888 27112052 30468064 54224104 62234483 108448208 124468966 216896416 248937932 497875864 684579313 995751728 1369158626 1991503456 2738317252 5476634504 10953269008 21906538016