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82378659013 = 753717342841
BaseRepresentation
bin100110010111000100…
…1101001010011000101
321212122002222110201221
41030232021221103011
52322202414042023
6101502204320341
75644264022350
oct1145611512305
9255562873657
1082378659013
1131a33672882
1213b705430b1
1379cab8ab61
143db6a41297
15222222b85d
hex132e2694c5

82378659013 has 32 divisors (see below), whose sum is σ = 98609260032. Its totient is φ = 67365043200.

The previous prime is 82378658951. The next prime is 82378659073. The reversal of 82378659013 is 31095687328.

It is a de Polignac number, because none of the positive numbers 2k-82378659013 is a prime.

It is a super-2 number, since 2×823786590132 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82378659073) 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 31 ways as a sum of consecutive naturals, for example, 1901473 + ... + 1944313.

It is an arithmetic number, because the mean of its divisors is an integer number (3081539376).

Almost surely, 282378659013 is an apocalyptic number.

It is an amenable number.

82378659013 is a deficient number, since it is larger than the sum of its proper divisors (16230601019).

82378659013 is a wasteful number, since it uses less digits than its factorization.

82378659013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43045.

The product of its (nonzero) digits is 2177280, while the sum is 52.

The spelling of 82378659013 in words is "eighty-two billion, three hundred seventy-eight million, six hundred fifty-nine thousand, thirteen".

Divisors: 1 7 53 71 73 371 497 511 3763 3869 5183 26341 27083 36281 42841 274699 299887 1922893 2270573 3041711 3127393 15894011 21291977 21891751 161210683 165751829 222044903 1128474781 1160262803 1554314321 11768379859 82378659013