Search a number
-
+
82165974207783 = 3125532181841637
BaseRepresentation
bin10010101011101011000001…
…101101001000110100100111
3101202220222202000110012222220
4102223223001231020310213
541232201403344122113
6450430305532523423
723210203303115124
oct2253530155106447
9352828660405886
1082165974207783
11241a9437417894
129270396620573
1336b02ab29b29b
141640bd657174b
159774d3ae4523
hex4abac1b48d27

82165974207783 has 8 divisors (see below), whose sum is σ = 109563359693808. Its totient is φ = 54772952430144.

The previous prime is 82165974207659. The next prime is 82165974207787. The reversal of 82165974207783 is 38770247956128.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 82165974207783 - 216 = 82165974142247 is a prime.

It is a super-2 number, since 2×821659742077832 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82165974207787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1090883160 + ... + 1090958477.

It is an arithmetic number, because the mean of its divisors is an integer number (13695419961726).

It is a 1-persistent number, because it is pandigital, but 2⋅82165974207783 = 164331948415566 is not.

Almost surely, 282165974207783 is an apocalyptic number.

82165974207783 is a deficient number, since it is larger than the sum of its proper divisors (27397385486025).

82165974207783 is a wasteful number, since it uses less digits than its factorization.

82165974207783 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2181854193.

The product of its (nonzero) digits is 284497920, while the sum is 69.

The spelling of 82165974207783 in words is "eighty-two trillion, one hundred sixty-five billion, nine hundred seventy-four million, two hundred seven thousand, seven hundred eighty-three".

Divisors: 1 3 12553 37659 2181841637 6545524911 27388658069261 82165974207783