Search a number
-
+
20514411216 = 2434131217617
BaseRepresentation
bin10011000110110000…
…010001001011010000
31221221200111001210000
4103012300101023100
5314003142124331
613231343010000
71324236422025
oct230660211320
957850431700
1020514411216
118777939862
123b86299900
131c1c137380
14dc874d54c
15800ece0e6
hex4c6c112d0

20514411216 has 100 divisors (see below), whose sum is σ = 63941991652. Its totient is φ = 6312121344.

The previous prime is 20514411193. The next prime is 20514411301. The reversal of 20514411216 is 61211441502.

20514411216 is a `hidden beast` number, since 2 + 0 + 5 + 1 + 441 + 1 + 216 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2143319616 + 18371091600 = 46296^2 + 135540^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 20514411216.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 591961 + ... + 625656.

Almost surely, 220514411216 is an apocalyptic number.

20514411216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

20514411216 is an abundant number, since it is smaller than the sum of its proper divisors (43427580436).

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

20514411216 is a wasteful number, since it uses less digits than its factorization.

20514411216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1217650 (or 1217635 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 20514411216 its reverse (61211441502), we get a palindrome (81725852718).

The spelling of 20514411216 in words is "twenty billion, five hundred fourteen million, four hundred eleven thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 81 104 108 117 144 156 162 208 216 234 312 324 351 432 468 624 648 702 936 1053 1296 1404 1872 2106 2808 4212 5616 8424 16848 1217617 2435234 3652851 4870468 7305702 9740936 10958553 14611404 15829021 19481872 21917106 29222808 31658042 32875659 43834212 47487063 58445616 63316084 65751318 87668424 94974126 98626977 126632168 131502636 142461189 175336848 189948252 197253954 253264336 263005272 284922378 379896504 394507908 427383567 526010544 569844756 759793008 789015816 854767134 1139689512 1282150701 1578031632 1709534268 2279379024 2564301402 3419068536 5128602804 6838137072 10257205608 20514411216