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202012444413 = 32134094221521
BaseRepresentation
bin1011110000100011100…
…0010100011011111101
3201022102121001110020200
42330020320110123331
511302210141210123
6232445255434113
720411025305613
oct2741070243375
9638377043220
10202012444413
11787448384aa
1233199685939
13160852328a0
149ac54996b3
1553c4e94143
hex2f08e146fd

202012444413 has 24 divisors (see below), whose sum is σ = 315009971640. Its totient is φ = 124011371520.

The previous prime is 202012444409. The next prime is 202012444493. The reversal of 202012444413 is 314444210202.

202012444413 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 244 + 4 + 413 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 4860460089 + 197151984324 = 69717^2 + 444018^2 .

It is not a de Polignac number, because 202012444413 - 22 = 202012444409 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202012444493) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2062908 + ... + 2158613.

It is an arithmetic number, because the mean of its divisors is an integer number (13125415485).

Almost surely, 2202012444413 is an apocalyptic number.

It is an amenable number.

202012444413 is a deficient number, since it is larger than the sum of its proper divisors (112997527227).

202012444413 is a wasteful number, since it uses less digits than its factorization.

202012444413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4221949 (or 4221946 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 202012444413 its reverse (314444210202), we get a palindrome (516456654615).

The spelling of 202012444413 in words is "two hundred two billion, twelve million, four hundred forty-four thousand, four hundred thirteen".

Divisors: 1 3 9 13 39 117 409 1227 3681 5317 15951 47853 4221521 12664563 37993689 54879773 164639319 493917957 1726602089 5179806267 15539418801 22445827157 67337481471 202012444413