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20500217424 = 243415818069
BaseRepresentation
bin10011000101111010…
…000111111001010000
31221220200202221120000
4103011322013321100
5313441023424144
613230114450000
71324004654511
oct230572077120
957820687500
1020500217424
11876a924855
123b81593900
131c1920798b
14dc68d6a08
157eeb28769
hex4c5e87e50

20500217424 has 50 divisors (see below), whose sum is σ = 59333580570. Its totient is φ = 6833405376.

The previous prime is 20500217407. The next prime is 20500217453. The reversal of 20500217424 is 42471200502.

20500217424 is a `hidden beast` number, since 20 + 5 + 0 + 0 + 217 + 424 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19359939600 + 1140277824 = 139140^2 + 33768^2 .

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

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 9 ways as a sum of consecutive naturals, for example, 7907739 + ... + 7910330.

Almost surely, 220500217424 is an apocalyptic number.

20500217424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20500217424 is an abundant number, since it is smaller than the sum of its proper divisors (38833363146).

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

20500217424 is a wasteful number, since it uses less digits than its factorization.

20500217424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15818089 (or 15818074 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 20500217424 its reverse (42471200502), we get a palindrome (62971417926).

The spelling of 20500217424 in words is "twenty billion, five hundred million, two hundred seventeen thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 15818069 31636138 47454207 63272276 94908414 126544552 142362621 189816828 253089104 284725242 379633656 427087863 569450484 759267312 854175726 1138900968 1281263589 1708351452 2277801936 2562527178 3416702904 5125054356 6833405808 10250108712 20500217424