Search a number
-
+
20123534828016 = 2432154990217411
BaseRepresentation
bin1001001001101011000000…
…01001010010000111110000
32122020210100202000222121100
410210311200021102013300
510114200444403444031
6110444342502124400
74144606644521214
oct444654011220760
978223322028540
1020123534828016
116459385877824
1223100ab120700
13b2c8449100c9
144d7dacc2a944
1524d6d5327de6
hex124d602521f0

20123534828016 has 60 divisors (see below), whose sum is σ = 56354306405800. Its totient is φ = 6703514432640.

The previous prime is 20123534828003. The next prime is 20123534828041. The reversal of 20123534828016 is 61082843532102.

20123534828016 is a `hidden beast` number, since 2 + 0 + 1 + 2 + 353 + 4 + 8 + 280 + 16 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 44885650 + ... + 45331761.

Almost surely, 220123534828016 is an apocalyptic number.

It is an amenable number.

20123534828016 is an abundant number, since it is smaller than the sum of its proper divisors (36230771577784).

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

20123534828016 is a wasteful number, since it uses less digits than its factorization.

20123534828016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90218974 (or 90218965 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 20123534828016 in words is "twenty trillion, one hundred twenty-three billion, five hundred thirty-four million, eight hundred twenty-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1549 3098 4647 6196 9294 12392 13941 18588 24784 27882 37176 55764 74352 111528 223056 90217411 180434822 270652233 360869644 541304466 721739288 811956699 1082608932 1443478576 1623913398 2165217864 3247826796 4330435728 6495653592 12991307184 139746769639 279493539278 419240308917 558987078556 838480617834 1117974157112 1257720926751 1676961235668 2235948314224 2515441853502 3353922471336 5030883707004 6707844942672 10061767414008 20123534828016