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82719082614 = 2377333181509
BaseRepresentation
bin100110100001001110…
…0010000100001110110
321220111211112210010110
41031002130100201312
52323402041120424
6102000045003450
75655566413110
oct1150234204166
9256454483113
1082719082614
11320988470a3
1214046553586
137a5357023c
144009d383b0
152242072c29
hex1342710876

82719082614 has 64 divisors (see below), whose sum is σ = 192243617280. Its totient is φ = 23239560960.

The previous prime is 82719082577. The next prime is 82719082639. The reversal of 82719082614 is 41628091728.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 974092 + ... + 1055600.

It is an arithmetic number, because the mean of its divisors is an integer number (3003806520).

Almost surely, 282719082614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82719082614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96121808640).

82719082614 is an abundant number, since it is smaller than the sum of its proper divisors (109524534666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

82719082614 is a wasteful number, since it uses less digits than its factorization.

82719082614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81925.

The product of its (nonzero) digits is 387072, while the sum is 48.

The spelling of 82719082614 in words is "eighty-two billion, seven hundred nineteen million, eighty-two thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 331 438 511 662 993 1022 1533 1986 2317 3066 4634 6951 13902 24163 48326 72489 81509 144978 163018 169141 244527 338282 489054 507423 570563 1014846 1141126 1711689 3423378 5950157 11900314 17850471 26979479 35700942 41651099 53958958 80938437 83302198 124953297 161876874 188856353 249906594 377712706 566569059 1133138118 1969501967 3939003934 5908505901 11817011802 13786513769 27573027538 41359541307 82719082614