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52131435444 = 223211131645039
BaseRepresentation
bin110000100011010001…
…101001001110110100
311222120010111022101100
4300203101221032310
51323231121413234
635540541330100
73523602614154
oct604321511664
9158503438340
1052131435444
1120121922050
12a12a866930
134bba51602a
142747840764
151551a6b399
hexc234693b4

52131435444 has 36 divisors (see below), whose sum is σ = 143756383680. Its totient is φ = 15797404560.

The previous prime is 52131435431. The next prime is 52131435457. The reversal of 52131435444 is 44453413125.

52131435444 is a `hidden beast` number, since 5 + 213 + 1 + 435 + 4 + 4 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (52131435431) and next prime (52131435457).

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

It is a super-2 number, since 2×521314354442 (a number of 22 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 52131435399 and 52131435408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65822124 + ... + 65822915.

It is an arithmetic number, because the mean of its divisors is an integer number (3993232880).

Almost surely, 252131435444 is an apocalyptic number.

It is an amenable number.

52131435444 is an abundant number, since it is smaller than the sum of its proper divisors (91624948236).

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

52131435444 is a wasteful number, since it uses less digits than its factorization.

52131435444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 131645060 (or 131645055 counting only the distinct ones).

The product of its digits is 115200, while the sum is 36.

Adding to 52131435444 its reverse (44453413125), we get a palindrome (96584848569).

The spelling of 52131435444 in words is "fifty-two billion, one hundred thirty-one million, four hundred thirty-five thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 131645039 263290078 394935117 526580156 789870234 1184805351 1448095429 1579740468 2369610702 2896190858 4344286287 4739221404 5792381716 8688572574 13032858861 17377145148 26065717722 52131435444