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93434843439 = 3372357209743
BaseRepresentation
bin101011100000100100…
…1101001000100101111
322221011122010211112000
41113001021221010233
53012323304442224
6110531240543343
76515255031240
oct1270111510457
9287148124460
1093434843439
1136697595883
1216137181b53
138a70627812
144745178cc7
15266cbb80c9
hex15c126912f

93434843439 has 32 divisors (see below), whose sum is σ = 158264432640. Its totient is φ = 53368432416.

The previous prime is 93434843429. The next prime is 93434843503.

It is a happy number.

93434843439 is a `hidden beast` number, since 93 + 43 + 4 + 84 + 3 + 439 = 666.

93434843439 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 93434843439 - 27 = 93434843311 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (93434843419) 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 31 ways as a sum of consecutive naturals, for example, 340602 + ... + 550344.

It is an arithmetic number, because the mean of its divisors is an integer number (4945763520).

Almost surely, 293434843439 is an apocalyptic number.

93434843439 is a deficient number, since it is larger than the sum of its proper divisors (64829589201).

93434843439 is a wasteful number, since it uses less digits than its factorization.

93434843439 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212116 (or 212110 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 54.

The spelling of 93434843439 in words is "ninety-three billion, four hundred thirty-four million, eight hundred forty-three thousand, four hundred thirty-nine".

Divisors: 1 3 7 9 21 27 63 189 2357 7071 16499 21213 49497 63639 148491 209743 445473 629229 1468201 1887687 4404603 5663061 13213809 39641427 494364251 1483092753 3460549757 4449278259 10381649271 13347834777 31144947813 93434843439