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82346001044813 = 11531311531704251
BaseRepresentation
bin10010101110010010101100…
…001001000001010101001101
3101210120012102101201002201122
4102232102230021001111031
541243124102231413223
6451045121452450325
723226205446021242
oct2256225411012515
9353505371632648
1082346001044813
112426881991a030
12929b2591799a5
1336c426b64ac1c
1416497d3b555c9
1597c01d84e5c8
hex4ae4ac24154d

82346001044813 has 32 divisors (see below), whose sum is σ = 92285993378304. Its totient is φ = 72839169000000.

The previous prime is 82346001044779. The next prime is 82346001044821. The reversal of 82346001044813 is 31844010064328.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 82346001044813 - 212 = 82346001040717 is a prime.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82346001044833) 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, 116574938 + ... + 117279188.

It is an arithmetic number, because the mean of its divisors is an integer number (2883937293072).

Almost surely, 282346001044813 is an apocalyptic number.

It is an amenable number.

82346001044813 is a deficient number, since it is larger than the sum of its proper divisors (9939992333491).

82346001044813 is a wasteful number, since it uses less digits than its factorization.

82346001044813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 705977.

The product of its (nonzero) digits is 442368, while the sum is 44.

The spelling of 82346001044813 in words is "eighty-two trillion, three hundred forty-six billion, one million, forty-four thousand, eight hundred thirteen".

Divisors: 1 11 53 131 583 1441 1531 6943 16841 76373 81143 200561 704251 892573 2206171 7746761 10629733 37325303 92256881 116927063 410578333 1014825691 1078208281 4889614693 11860291091 53785761623 57145038893 141245284811 628595427823 1553698132921 7486000094983 82346001044813