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382713434397 = 327223127929501
BaseRepresentation
bin1011001000110110111…
…11111001000100011101
31100120211221211211222100
411210123133321010131
522232244114400042
6451452141035313
736435665342400
oct5443337710435
91316757754870
10382713434397
11138342835848
1262209b55b39
132a122171cb8
1414748409d37
159e4deb824c
hex591b7f911d

382713434397 has 72 divisors (see below), whose sum is σ = 671569367040. Its totient is φ = 209014344000.

The previous prime is 382713434393. The next prime is 382713434417. The reversal of 382713434397 is 793434317283.

382713434397 is a `hidden beast` number, since 3 + 82 + 7 + 134 + 343 + 97 = 666.

It is not a de Polignac number, because 382713434397 - 22 = 382713434393 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (382713434393) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12958147 + ... + 12987647.

It is an arithmetic number, because the mean of its divisors is an integer number (9327352320).

Almost surely, 2382713434397 is an apocalyptic number.

It is an amenable number.

382713434397 is a deficient number, since it is larger than the sum of its proper divisors (288855932643).

382713434397 is a wasteful number, since it uses less digits than its factorization.

382713434397 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30823 (or 30813 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 54.

The spelling of 382713434397 in words is "three hundred eighty-two billion, seven hundred thirteen million, four hundred thirty-four thousand, three hundred ninety-seven".

Divisors: 1 3 7 9 21 23 49 63 69 147 161 207 441 483 1127 1279 1449 3381 3837 8953 10143 11511 26859 29417 29501 62671 80577 88251 88503 188013 205919 206507 264753 265509 564039 617757 619521 678523 1441433 1445549 1853271 1858563 2035569 4324299 4336647 4749661 6106707 12972897 13009941 14248983 33247627 37731779 42746949 99742881 113195337 264122453 299228643 339586011 792367359 867830917 1848857171 2377102077 2603492751 5546571513 6074816419 7810478253 16639714539 18224449257 42523714933 54673347771 127571144799 382713434397