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382007138051 = 7116730773709
BaseRepresentation
bin1011000111100010110…
…01100101011100000011
31100112000201211021112102
411203301121211130003
522224322311404201
6451254110421015
736412331045360
oct5436131453403
91315021737472
10382007138051
11138010085960
126205150176b
132a03ba39a76
14146bc6b3467
159e0bea026b
hex58f1665703

382007138051 has 16 divisors (see below), whose sum is σ = 476282177280. Its totient is φ = 297659438880.

The previous prime is 382007138027. The next prime is 382007138101. The reversal of 382007138051 is 150831700283.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 382007138051 - 26 = 382007137987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 382007137996 and 382007138014.

It is not an unprimeable number, because it can be changed into a prime (382007138651) 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 15 ways as a sum of consecutive naturals, for example, 5145785 + ... + 5219493.

It is an arithmetic number, because the mean of its divisors is an integer number (29767636080).

Almost surely, 2382007138051 is an apocalyptic number.

382007138051 is a deficient number, since it is larger than the sum of its proper divisors (94275039229).

382007138051 is a wasteful number, since it uses less digits than its factorization.

382007138051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141034.

The product of its (nonzero) digits is 40320, while the sum is 38.

The spelling of 382007138051 in words is "three hundred eighty-two billion, seven million, one hundred thirty-eight thousand, fifty-one".

Divisors: 1 7 11 77 67307 73709 471149 515963 740377 810799 5182639 5675593 4961131663 34727921641 54572448293 382007138051