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379520025973 = 11311112961953
BaseRepresentation
bin1011000010111010010…
…10000000010101110101
31100021121101212220011021
411201131022000111311
522204224111312343
6450203223141141
736263600664634
oct5413512002565
91307541786137
10379520025973
11136a54184830
12616785a47b1
1329a336a080a
141452425951b
159d1396d0ed
hex585d280575

379520025973 has 8 divisors (see below), whose sum is σ = 427377390336. Its totient is φ = 333888585600.

The previous prime is 379520025949. The next prime is 379520026007.

379520025973 is nontrivially palindromic in base 10.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 379520025973 - 225 = 379486471541 is a prime.

It is a super-2 number, since 2×3795200259732 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 379520025973.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (379520025923) 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 7 ways as a sum of consecutive naturals, for example, 556480636 + ... + 556481317.

It is an arithmetic number, because the mean of its divisors is an integer number (53422173792).

Almost surely, 2379520025973 is an apocalyptic number.

It is an amenable number.

379520025973 is a deficient number, since it is larger than the sum of its proper divisors (47857364363).

379520025973 is a wasteful number, since it uses less digits than its factorization.

379520025973 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112961995.

The product of its (nonzero) digits is 3572100, while the sum is 52.

The spelling of 379520025973 in words is "three hundred seventy-nine billion, five hundred twenty million, twenty-five thousand, nine hundred seventy-three".

Divisors: 1 11 31 341 1112961953 12242581483 34501820543 379520025973