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51141432213 = 3319234792221
BaseRepresentation
bin101111101000010001…
…000101001110010101
311220000010121221021000
4233220101011032111
51314214201312323
635254414213513
73460222000314
oct575021051625
9156003557230
1051141432213
111a764006a63
129ab31b4299
134a903990c1
14269217627b
1514e4bb1e43
hexbe8445395

51141432213 has 64 divisors (see below), whose sum is σ = 84991795200. Its totient is φ = 30237831360.

The previous prime is 51141432187. The next prime is 51141432217. The reversal of 51141432213 is 31223414115.

51141432213 is a `hidden beast` number, since 5 + 1 + 1 + 414 + 32 + 213 = 666.

It is not a de Polignac number, because 51141432213 - 213 = 51141424021 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51141432217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 508443 + ... + 600663.

It is an arithmetic number, because the mean of its divisors is an integer number (1327996800).

Almost surely, 251141432213 is an apocalyptic number.

It is an amenable number.

51141432213 is a deficient number, since it is larger than the sum of its proper divisors (33850362987).

51141432213 is a wasteful number, since it uses less digits than its factorization.

51141432213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92319 (or 92313 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 51141432213 its reverse (31223414115), we get a palindrome (82364846328).

The spelling of 51141432213 in words is "fifty-one billion, one hundred forty-one million, four hundred thirty-two thousand, two hundred thirteen".

Divisors: 1 3 9 19 23 27 47 57 69 141 171 207 423 437 513 621 893 1081 1269 1311 2679 3243 3933 8037 9729 11799 20539 24111 29187 61617 92221 184851 276663 554553 829989 1752199 2121083 2489967 4334387 5256597 6363249 13003161 15769791 19089747 39009483 40300577 47309373 57269241 82353353 99690901 117028449 120901731 247060059 299072703 362705193 741180177 897218109 1088115579 1894127119 2223540531 2691654327 5682381357 17047144071 51141432213