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20392136401 = 721327573253
BaseRepresentation
bin10010111111011101…
…110100111011010001
31221122011101212021011
4102333131310323101
5313230341331101
613211254130521
71321223204500
oct227735647321
957564355234
1020392136401
11871491399a
123b51350a41
131bcc9c4c00
14db6400837
157e53c9751
hex4bf774ed1

20392136401 has 36 divisors (see below), whose sum is σ = 25728395292. Its totient is φ = 16108170624.

The previous prime is 20392136399. The next prime is 20392136431. The reversal of 20392136401 is 10463129302.

It can be written as a sum of positive squares in 6 ways, for example, as 14288400 + 20377848001 = 3780^2 + 142751^2 .

It is not a de Polignac number, because 20392136401 - 21 = 20392136399 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20392136431) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 6267091 + ... + 6270343.

It is an arithmetic number, because the mean of its divisors is an integer number (714677647).

Almost surely, 220392136401 is an apocalyptic number.

It is an amenable number.

20392136401 is a deficient number, since it is larger than the sum of its proper divisors (5336258891).

20392136401 is a wasteful number, since it uses less digits than its factorization.

20392136401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4050 (or 4030 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The spelling of 20392136401 in words is "twenty billion, three hundred ninety-two million, one hundred thirty-six thousand, four hundred one".

Divisors: 1 7 13 49 91 169 637 757 1183 3253 5299 8281 9841 22771 37093 42289 68887 127933 159397 296023 482209 549757 895531 2072161 2462521 3848299 6268717 17237647 26938093 32012773 120663529 224089411 416166049 1568625877 2913162343 20392136401