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20407630356 = 2232566878621
BaseRepresentation
bin10011000000011000…
…111011101000010100
31221200020120000222100
4103000120323220110
5313243323132411
613213010202100
71321501665411
oct230030735024
957606500870
1020407630356
118722636813
123b56583330
131c02c8b329
14db84b5108
157e693a456
hex4c063ba14

20407630356 has 18 divisors (see below), whose sum is σ = 51585954602. Its totient is φ = 6802543440.

The previous prime is 20407630289. The next prime is 20407630379. The reversal of 20407630356 is 65303670402.

20407630356 is a `hidden beast` number, since 204 + 0 + 76 + 30 + 356 = 666.

It can be written as a sum of positive squares in only one way, i.e., 18403635600 + 2003994756 = 135660^2 + 44766^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 566878621 = 20407630356 / (2 + 0 + 4 + 0 + 7 + 6 + 3 + 0 + 3 + 5 + 6).

It is a self number, because there is not a number n which added to its sum of digits gives 20407630356.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 283439275 + ... + 283439346.

Almost surely, 220407630356 is an apocalyptic number.

It is an amenable number.

20407630356 is an abundant number, since it is smaller than the sum of its proper divisors (31178324246).

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

20407630356 is a wasteful number, since it uses less digits than its factorization.

20407630356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566878631 (or 566878626 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

It can be divided in two parts, 204076 and 30356, that added together give a palindrome (234432).

The spelling of 20407630356 in words is "twenty billion, four hundred seven million, six hundred thirty thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 566878621 1133757242 1700635863 2267514484 3401271726 5101907589 6802543452 10203815178 20407630356