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338321679709 = 131712541122069
BaseRepresentation
bin1001110110001011000…
…10110010010101011101
31012100021012221001121211
410323011202302111131
521020340322222314
6415231155424421
733304632554146
oct4730542622535
91170235831554
10338321679709
1112053284a482
125569b2b5111
1325b99285730
141253686cacd
158c01b759c4
hex4ec58b255d

338321679709 has 16 divisors (see below), whose sum is σ = 385812488880. Its totient is φ = 293900682240.

The previous prime is 338321679691. The next prime is 338321679733. The reversal of 338321679709 is 907976123833.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 9614390809 + 328707288900 = 98053^2 + 573330^2 .

It is a cyclic number.

It is not a de Polignac number, because 338321679709 - 29 = 338321679197 is a prime.

It is a super-2 number, since 2×3383216797092 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (338321679749) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2710527 + ... + 2832595.

It is an arithmetic number, because the mean of its divisors is an integer number (24113280555).

Almost surely, 2338321679709 is an apocalyptic number.

It is an amenable number.

338321679709 is a deficient number, since it is larger than the sum of its proper divisors (47490809171).

338321679709 is a wasteful number, since it uses less digits than its factorization.

338321679709 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134640.

The product of its (nonzero) digits is 10287648, while the sum is 58.

The spelling of 338321679709 in words is "three hundred thirty-eight billion, three hundred twenty-one million, six hundred seventy-nine thousand, seven hundred nine".

Divisors: 1 13 17 221 12541 122069 163033 213197 1586897 2075173 2771561 26977249 1530867329 19901275277 26024744593 338321679709