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20513511540 = 22325113963953
BaseRepresentation
bin10011000110101100…
…110101100001110100
31221221121210100122200
4103012230311201310
5314002424332130
613231311424500
71324225654044
oct230654654164
957847710580
1020513511540
118777384925
123b85b25130
131c1bbb0a12
14dc8597724
15800da2760
hex4c6b35874

20513511540 has 36 divisors (see below), whose sum is σ = 62224318884. Its totient is φ = 5470269696.

The previous prime is 20513511523. The next prime is 20513511541. The reversal of 20513511540 is 4511531502.

20513511540 is a `hidden beast` number, since 20 + 51 + 3 + 51 + 1 + 540 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7895033316 + 12618478224 = 88854^2 + 112332^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20513511541) by changing a digit.

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, 56981797 + ... + 56982156.

Almost surely, 220513511540 is an apocalyptic number.

20513511540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20513511540 is an abundant number, since it is smaller than the sum of its proper divisors (41710807344).

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

20513511540 is a wasteful number, since it uses less digits than its factorization.

20513511540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113963968 (or 113963963 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The spelling of 20513511540 in words is "twenty billion, five hundred thirteen million, five hundred eleven thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 113963953 227927906 341891859 455855812 569819765 683783718 1025675577 1139639530 1367567436 1709459295 2051351154 2279279060 3418918590 4102702308 5128377885 6837837180 10256755770 20513511540