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8142535696 = 2417213272
BaseRepresentation
bin1111001010101010…
…10011110000010000
3210000110121200010011
413211111103300100
5113133442120241
63423550444304
7405531261061
oct74525236020
923013550104
108142535696
1134a9281649
1216b2b03694
139c9c2a679
145735ac568
15329ca3281
hex1e5553c10

8142535696 has 45 divisors (see below), whose sum is σ = 16771399869. Its totient is φ = 3828893952.

The previous prime is 8142535663. The next prime is 8142535763. The reversal of 8142535696 is 6965352418.

The square root of 8142535696 is 90236.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6339344400 + 1803191296 = 79620^2 + 42464^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6135385 + ... + 6136711.

Almost surely, 28142535696 is an apocalyptic number.

8142535696 is the 90236-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8142535696

8142535696 is an abundant number, since it is smaller than the sum of its proper divisors (8628864173).

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

8142535696 is an equidigital number, since it uses as much as digits as its factorization.

8142535696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2696 (or 1346 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 49.

The cubic root of 8142535696 is about 2011.8081215966.

Multiplying 8142535696 by its sum of digits (49), we get a square (398984249104 = 6316522).

The spelling of 8142535696 in words is "eight billion, one hundred forty-two million, five hundred thirty-five thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 17 34 68 136 272 289 578 1156 1327 2312 2654 4624 5308 10616 21232 22559 45118 90236 180472 360944 383503 767006 1534012 1760929 3068024 3521858 6136048 7043716 14087432 28174864 29935793 59871586 119743172 239486344 478972688 508908481 1017816962 2035633924 4071267848 8142535696