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52071436131 = 311135313991637
BaseRepresentation
bin110000011111101100…
…110000111101100011
311222101221121000210120
4300133230300331203
51323120241424011
635530555331323
73522243622101
oct603754607543
9158357530716
1052071436131
11200a0a71740
12a112750b43
134baac69490
14273d8a2c71
15154b668a06
hexc1fb30f63

52071436131 has 64 divisors (see below), whose sum is σ = 83215641600. Its totient is φ = 28543357440.

The previous prime is 52071436129. The next prime is 52071436199. The reversal of 52071436131 is 13163417025.

It is not a de Polignac number, because 52071436131 - 21 = 52071436129 is a prime.

It is a super-2 number, since 2×520714361312 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 52071436092 and 52071436101.

It is not an unprimeable number, because it can be changed into a prime (52071436111) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31808245 + ... + 31809881.

It is an arithmetic number, because the mean of its divisors is an integer number (1300244400).

Almost surely, 252071436131 is an apocalyptic number.

52071436131 is a deficient number, since it is larger than the sum of its proper divisors (31144205469).

52071436131 is a wasteful number, since it uses less digits than its factorization.

52071436131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3116.

The product of its (nonzero) digits is 15120, while the sum is 33.

The spelling of 52071436131 in words is "fifty-two billion, seventy-one million, four hundred thirty-six thousand, one hundred thirty-one".

Divisors: 1 3 11 13 33 39 53 143 159 429 583 689 1399 1637 1749 2067 4197 4911 7579 15389 18007 18187 21281 22737 46167 54021 54561 63843 74147 86761 200057 222441 234091 260283 600171 702273 815617 954371 963911 1127893 2290163 2446851 2863113 2891733 3383679 6870489 10603021 12406823 25191793 29772119 31809063 37220469 75575379 89316357 121378639 327493309 364135917 982479927 1335165029 1577922307 4005495087 4733766921 17357145377 52071436131