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82756385713 = 1722936757923
BaseRepresentation
bin100110100010010101…
…0100011101110110001
321220121102201222100201
41031010222203232301
52323441113320323
6102003500315201
75656531446361
oct1150452435661
9256542658321
1082756385713
1132107905501
1214056b42b01
137a5b201391
144010c889a1
1522454908ad
hex1344aa3bb1

82756385713 has 16 divisors (see below), whose sum is σ = 88248372480. Its totient is φ = 77335600896.

The previous prime is 82756385669. The next prime is 82756385729. The reversal of 82756385713 is 31758365728.

It is a cyclic number.

It is not a de Polignac number, because 82756385713 - 217 = 82756254641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82756385213) 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, 1399770 + ... + 1457692.

It is an arithmetic number, because the mean of its divisors is an integer number (5515523280).

Almost surely, 282756385713 is an apocalyptic number.

It is an amenable number.

82756385713 is a deficient number, since it is larger than the sum of its proper divisors (5491986767).

82756385713 is a wasteful number, since it uses less digits than its factorization.

82756385713 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58536.

The product of its digits is 8467200, while the sum is 55.

It can be divided in two parts, 827563 and 85713, that added together give a triangular number (913276 = T1351).

The spelling of 82756385713 in words is "eighty-two billion, seven hundred fifty-six million, three hundred eighty-five thousand, seven hundred thirteen".

Divisors: 1 17 229 367 3893 6239 57923 84043 984691 1428731 13264367 21257741 225494239 361381597 4868022689 82756385713