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349542770687 = 112312718116007
BaseRepresentation
bin1010001011000100101…
…11110110011111111111
31020102020020101112122222
411011202113312133333
521211330422130222
6424324442355555
734152665346125
oct5054227663777
91212206345588
10349542770687
11125270866190
12578b11bbbbb
1326c66c40236
1412cbcc51915
15915bd38542
hex51625f67ff

349542770687 has 32 divisors (see below), whose sum is σ = 401319788544. Its totient is φ = 301340239200.

The previous prime is 349542770659. The next prime is 349542770713. The reversal of 349542770687 is 786077245943.

It is not a de Polignac number, because 349542770687 - 28 = 349542770431 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 (349542770987) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58186238 + ... + 58192244.

It is an arithmetic number, because the mean of its divisors is an integer number (12541243392).

Almost surely, 2349542770687 is an apocalyptic number.

349542770687 is a deficient number, since it is larger than the sum of its proper divisors (51777017857).

349542770687 is a wasteful number, since it uses less digits than its factorization.

349542770687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7979.

The product of its (nonzero) digits is 71124480, while the sum is 62.

The spelling of 349542770687 in words is "three hundred forty-nine billion, five hundred forty-two million, seven hundred seventy thousand, six hundred eighty-seven".

Divisors: 1 11 23 127 253 1397 1811 2921 6007 19921 32131 41653 66077 138161 229997 458183 762889 1519771 2529967 5289931 8391779 10878677 17546447 58189241 119665447 193010917 250209571 1381591979 2752305281 15197511769 31776615517 349542770687