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20605193424 = 243415899069
BaseRepresentation
bin10011001100001010…
…100100110011010000
31222012000022021120000
4103030022210303100
5314144412142144
613244344450000
71326421153134
oct231412446320
958160267500
1020605193424
118814104882
123bb0779900
131c34ba135a
14dd68213c4
15808e62769
hex4cc2a4cd0

20605193424 has 50 divisors (see below), whose sum is σ = 59637411570. Its totient is φ = 6868397376.

The previous prime is 20605193423. The next prime is 20605193431. The reversal of 20605193424 is 42439150602.

It is a happy number.

20605193424 is a `hidden beast` number, since 2 + 0 + 605 + 1 + 9 + 3 + 42 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 16452679824 + 4152513600 = 128268^2 + 64440^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20605193423) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7948239 + ... + 7950830.

Almost surely, 220605193424 is an apocalyptic number.

20605193424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20605193424 is an abundant number, since it is smaller than the sum of its proper divisors (39032218146).

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

20605193424 is a wasteful number, since it uses less digits than its factorization.

20605193424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15899089 (or 15899074 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 20605193424 in words is "twenty billion, six hundred five million, one hundred ninety-three 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 15899069 31798138 47697207 63596276 95394414 127192552 143091621 190788828 254385104 286183242 381577656 429274863 572366484 763155312 858549726 1144732968 1287824589 1717099452 2289465936 2575649178 3434198904 5151298356 6868397808 10302596712 20605193424