Search a number
-
+
82323226910289 = 3197127317448477
BaseRepresentation
bin10010101101111101011110…
…101100100101111001010001
3101210111000122020011012022210
4102231331132230211321101
541242240432042112124
6451030433544022333
723224441210044501
oct2255753654457121
9353430566135283
1082323226910289
112425a0a2479752
1292969621619a9
1336c207c301191
14164867325da01
1597b6392a7a29
hex4adf5eb25e51

82323226910289 has 32 divisors (see below), whose sum is σ = 117211633320960. Its totient is φ = 51242535489600.

The previous prime is 82323226910207. The next prime is 82323226910347. The reversal of 82323226910289 is 98201962232328.

It is a happy number.

It is not a de Polignac number, because 82323226910289 - 229 = 82322690039377 is a prime.

It is a super-2 number, since 2×823232269102892 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (82323226915289) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7328119 + ... + 14776595.

It is an arithmetic number, because the mean of its divisors is an integer number (3662863541280).

Almost surely, 282323226910289 is an apocalyptic number.

It is an amenable number.

82323226910289 is a deficient number, since it is larger than the sum of its proper divisors (34888406410671).

82323226910289 is a wasteful number, since it uses less digits than its factorization.

82323226910289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7451301.

The product of its (nonzero) digits is 8957952, while the sum is 57.

The spelling of 82323226910289 in words is "eighty-two trillion, three hundred twenty-three billion, two hundred twenty-six million, nine hundred ten thousand, two hundred eighty-nine".

Divisors: 1 3 19 57 71 213 1349 2731 4047 8193 51889 155667 193901 581703 3684119 7448477 11052357 22345431 141521063 424563189 528841867 1586525601 10047995473 20341790687 30143986419 61025372061 386494023053 1159482069159 1444267138777 4332801416331 27441075636763 82323226910289