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20216105504 = 257415937309
BaseRepresentation
bin10010110100111110…
…010100101000100000
31221011220011120021022
4102310332110220200
5312400310334004
613142005145012
71313655030050
oct226476245040
957156146238
1020216105504
118634512311
123b023bb168
131ba23b080a
14d9ac9b560
157d4c072be
hex4b4f94a20

20216105504 has 96 divisors (see below), whose sum is σ = 47386684800. Its totient is φ = 8309237760.

The previous prime is 20216105501. The next prime is 20216105531. The reversal of 20216105504 is 40550161202.

It is not an unprimeable number, because it can be changed into a prime (20216105501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 523202 + ... + 560510.

It is an arithmetic number, because the mean of its divisors is an integer number (493611300).

Almost surely, 220216105504 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 20216105504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23693342400).

20216105504 is an abundant number, since it is smaller than the sum of its proper divisors (27170579296).

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

20216105504 is a wasteful number, since it uses less digits than its factorization.

20216105504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37426 (or 37418 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 26.

Adding to 20216105504 its reverse (40550161202), we get a palindrome (60766266706).

The spelling of 20216105504 in words is "twenty billion, two hundred sixteen million, one hundred five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 41 56 59 82 112 118 164 224 236 287 328 413 472 574 656 826 944 1148 1312 1652 1888 2296 2419 3304 4592 4838 6608 9184 9676 13216 16933 19352 33866 37309 38704 67732 74618 77408 135464 149236 261163 270928 298472 522326 541856 596944 1044652 1193888 1529669 2089304 2201231 3059338 4178608 4402462 6118676 8357216 8804924 10707683 12237352 15408617 17609848 21415366 24474704 30817234 35219696 42830732 48949408 61634468 70439392 85661464 90250471 123268936 171322928 180500942 246537872 342645856 361001884 493075744 631753297 722003768 1263506594 1444007536 2527013188 2888015072 5054026376 10108052752 20216105504