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349562328071 = 1133196007231
BaseRepresentation
bin1010001011000111000…
…10011101010000000111
31020102021121012011100112
411011203202131100013
521211400423444241
6424330421503235
734153323522545
oct5054342352007
91212247164315
10349562328071
11125280903a10
12578b7871b1b
1326c6acca058
1412cc16a2d95
15915d8ed1eb
hex516389d407

349562328071 has 8 divisors (see below), whose sum is σ = 382492812288. Its totient is φ = 316823859000.

The previous prime is 349562328053. The next prime is 349562328083. The reversal of 349562328071 is 170823265943.

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

It is not a de Polignac number, because 349562328071 - 26 = 349562328007 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (349562328971) 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, 47999975 + ... + 48007256.

It is an arithmetic number, because the mean of its divisors is an integer number (47811601536).

It is a 1-persistent number, because it is pandigital, but 2⋅349562328071 = 699124656142 is not.

Almost surely, 2349562328071 is an apocalyptic number.

349562328071 is a deficient number, since it is larger than the sum of its proper divisors (32930484217).

349562328071 is a wasteful number, since it uses less digits than its factorization.

349562328071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96007573.

The product of its (nonzero) digits is 2177280, while the sum is 50.

The spelling of 349562328071 in words is "three hundred forty-nine billion, five hundred sixty-two million, three hundred twenty-eight thousand, seventy-one".

Divisors: 1 11 331 3641 96007231 1056079541 31778393461 349562328071