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364681421013 = 37137191857899
BaseRepresentation
bin1010100111010001011…
…01001110000011010101
31021212022021102122211210
411103220231032003111
521433331420433023
6435310552252033
735230100634660
oct5235055160325
91255267378753
10364681421013
1113072a178248
125a8170a1019
132850a4131b0
14139176486d7
159745dd9593
hex54e8b4e0d5

364681421013 has 32 divisors (see below), whose sum is σ = 599284224000. Its totient is φ = 192091790016.

The previous prime is 364681420973. The next prime is 364681421021. The reversal of 364681421013 is 310124186463.

It is a happy number.

It is not a de Polignac number, because 364681421013 - 26 = 364681420949 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (364681421113) 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 31 ways as a sum of consecutive naturals, for example, 732663 + ... + 1125236.

It is an arithmetic number, because the mean of its divisors is an integer number (18727632000).

Almost surely, 2364681421013 is an apocalyptic number.

It is an amenable number.

364681421013 is a deficient number, since it is larger than the sum of its proper divisors (234602802987).

364681421013 is a wasteful number, since it uses less digits than its factorization.

364681421013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1858641.

The product of its (nonzero) digits is 82944, while the sum is 39.

The spelling of 364681421013 in words is "three hundred sixty-four billion, six hundred eighty-one million, four hundred twenty-one thousand, thirteen".

Divisors: 1 3 7 13 21 39 91 273 719 2157 5033 9347 15099 28041 65429 196287 1857899 5573697 13005293 24152687 39015879 72458061 169068809 507206427 1335829381 4007488143 9350805667 17365781953 28052417001 52097345859 121560473671 364681421013