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82700251242 = 23773112324019
BaseRepresentation
bin100110100000101010…
…0011011000001101010
321220110112010001100020
41031001110123001222
52323332231014432
6101554133221310
75655250352130
oct1150124330152
9256415101306
1082700251242
1132089154884
1214040191836
137a4c6a8a0b
144007635750
1522405a322c
hex134151b06a

82700251242 has 64 divisors (see below), whose sum is σ = 191797201920. Its totient is φ = 23283241344.

The previous prime is 82700251187. The next prime is 82700251261. The reversal of 82700251242 is 24215200728.

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, 3431109 + ... + 3455127.

It is an arithmetic number, because the mean of its divisors is an integer number (2996831280).

Almost surely, 282700251242 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82700251242, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95898600960).

82700251242 is an abundant number, since it is smaller than the sum of its proper divisors (109096950678).

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

82700251242 is a wasteful number, since it uses less digits than its factorization.

82700251242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25227.

The product of its (nonzero) digits is 17920, while the sum is 33.

The spelling of 82700251242 in words is "eighty-two billion, seven hundred million, two hundred fifty-one thousand, two hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1123 1533 2246 3066 3369 6738 7861 15722 23583 24019 47166 48038 72057 81979 144114 163958 168133 245937 336266 491874 504399 573853 1008798 1147706 1721559 1753387 3443118 3506774 5260161 10520322 12273709 24547418 26973337 36821127 53946674 73642254 80920011 161840022 188813359 377626718 566440077 1132880154 1969053601 3938107202 5907160803 11814321606 13783375207 27566750414 41350125621 82700251242