Search a number
-
+
82246062510243 = 32316311665128057
BaseRepresentation
bin10010101100110101100111…
…010101110001000010100011
3101210012122110111201112012100
4102230311213111301002203
541240004414000311433
6450531153003101443
723216040046342242
oct2254654725610243
9353178414645170
1082246062510243
112422a3a5155905
129283a07b11883
1336b7a027ac478
141644a32d34959
1597961ec06b13
hex4acd675710a3

82246062510243 has 48 divisors (see below), whose sum is σ = 122838222088192. Its totient is φ = 52972814160000.

The previous prime is 82246062510221. The next prime is 82246062510251. The reversal of 82246062510243 is 34201526064228.

It is a happy number.

82246062510243 is a `hidden beast` number, since 8 + 2 + 2 + 4 + 6 + 0 + 625 + 10 + 2 + 4 + 3 = 666.

It is not a de Polignac number, because 82246062510243 - 230 = 82244988768419 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (82246062510253) 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 47 ways as a sum of consecutive naturals, for example, 2931377871 + ... + 2931405927.

Almost surely, 282246062510243 is an apocalyptic number.

82246062510243 is a deficient number, since it is larger than the sum of its proper divisors (40592159577949).

82246062510243 is a wasteful number, since it uses less digits than its factorization.

82246062510243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45376 (or 45373 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 82246062510243 in words is "eighty-two trillion, two hundred forty-six billion, sixty-two million, five hundred ten thousand, two hundred forty-three".

Divisors: 1 3 9 31 93 279 631 1893 5679 16651 19561 28057 49953 58683 84171 149859 176049 252513 516181 869767 1548543 2609301 4645629 7827903 10506781 17703967 31520343 53111901 94561029 159335703 325710211 467177107 548822977 977130633 1401531321 1646468931 2931391899 4204593963 4939406793 14482490317 43447470951 130342412853 294788754517 884366263551 2653098790653 9138451390027 27415354170081 82246062510243