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380400652827 = 321322714322853
BaseRepresentation
bin1011000100100011010…
…01010101001000011011
31100100212202221101002200
411202101221111020123
522213030031342302
6450430442101243
736324453125106
oct5422151251033
91310782841080
10380400652827
11137366284818
12618834aa823
1329b43c731b0
14145a91b173d
159d65e1e81c
hex5891a5521b

380400652827 has 24 divisors (see below), whose sum is σ = 594341149584. Its totient is φ = 233061447744.

The previous prime is 380400652811. The next prime is 380400652843. The reversal of 380400652827 is 728256004083.

380400652827 is a `hidden beast` number, since 3 + 80 + 40 + 0 + 6 + 528 + 2 + 7 = 666.

It is an interprime number because it is at equal distance from previous prime (380400652811) and next prime (380400652843).

It is not a de Polignac number, because 380400652827 - 24 = 380400652811 is a prime.

It is not an unprimeable number, because it can be changed into a prime (380400652427) 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 23 ways as a sum of consecutive naturals, for example, 7134868 + ... + 7187985.

It is an arithmetic number, because the mean of its divisors is an integer number (24764214566).

Almost surely, 2380400652827 is an apocalyptic number.

380400652827 is a deficient number, since it is larger than the sum of its proper divisors (213940496757).

380400652827 is a wasteful number, since it uses less digits than its factorization.

380400652827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14323099 (or 14323096 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 380400652827 in words is "three hundred eighty billion, four hundred million, six hundred fifty-two thousand, eight hundred twenty-seven".

Divisors: 1 3 9 13 39 117 227 681 2043 2951 8853 26559 14322853 42968559 128905677 186197089 558591267 1675773801 3251287631 9753862893 29261588679 42266739203 126800217609 380400652827