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376243146441 = 32190121990949
BaseRepresentation
bin1010111100110011101…
…01101100111011001001
31022222011000212011111200
411132121311230323021
522131021221141231
6444502124214413
736116440656201
oct5363165547311
91288130764450
10376243146441
111356224a1728
1260b0309a409
1329630825046
14142d2d7b401
159bc0e35be6
hex5799d6cec9

376243146441 has 12 divisors (see below), whose sum is σ = 543748229700. Its totient is φ = 250696807200.

The previous prime is 376243146353. The next prime is 376243146449. The reversal of 376243146441 is 144641342673.

376243146441 is a `hidden beast` number, since 3 + 7 + 62 + 4 + 3 + 146 + 441 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 194396337216 + 181846809225 = 440904^2 + 426435^2 .

It is not a de Polignac number, because 376243146441 - 219 = 376242622153 is a prime.

It is not an unprimeable number, because it can be changed into a prime (376243146449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10978366 + ... + 11012583.

It is an arithmetic number, because the mean of its divisors is an integer number (45312352475).

Almost surely, 2376243146441 is an apocalyptic number.

It is an amenable number.

376243146441 is a deficient number, since it is larger than the sum of its proper divisors (167505083259).

376243146441 is a wasteful number, since it uses less digits than its factorization.

376243146441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21992856 (or 21992853 counting only the distinct ones).

The product of its digits is 1161216, while the sum is 45.

The spelling of 376243146441 in words is "three hundred seventy-six billion, two hundred forty-three million, one hundred forty-six thousand, four hundred forty-one".

Divisors: 1 3 9 1901 5703 17109 21990949 65972847 197918541 41804794049 125414382147 376243146441