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382427272829 = 72131589710103
BaseRepresentation
bin1011001000010100111…
…00010001011001111101
31100120010000101100002202
411210022130101121331
522231202340212304
6451403515401245
736425622120200
oct5441234213175
91316100340082
10382427272829
11138206253388
126214a153225
132a0a7aaac24
141471c3d9937
159e33cde81e
hex590a71167d

382427272829 has 24 divisors (see below), whose sum is σ = 448380681408. Its totient is φ = 325205200320.

The previous prime is 382427272823. The next prime is 382427272853. The reversal of 382427272829 is 928272724283.

It is not a de Polignac number, because 382427272829 - 212 = 382427268733 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382427272823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37847792 + ... + 37857894.

It is an arithmetic number, because the mean of its divisors is an integer number (18682528392).

Almost surely, 2382427272829 is an apocalyptic number.

It is an amenable number.

382427272829 is a deficient number, since it is larger than the sum of its proper divisors (65953408579).

382427272829 is a wasteful number, since it uses less digits than its factorization.

382427272829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16145 (or 16138 counting only the distinct ones).

The product of its digits is 10838016, while the sum is 56.

The spelling of 382427272829 in words is "three hundred eighty-two billion, four hundred twenty-seven million, two hundred seventy-two thousand, eight hundred twenty-nine".

Divisors: 1 7 49 131 917 5897 6419 10103 41279 70721 288953 495047 772507 1323493 5407549 9264451 37852843 59577391 64851157 417041737 2919292159 7804638221 54632467547 382427272829