Search a number
-
+
106042847392 = 254180825341
BaseRepresentation
bin110001011000010100…
…1010111000010100000
3101010201022022210111101
41202300221113002200
53214133432104032
6120414310124144
710442561221246
oct1426051270240
9333638283441
10106042847392
1140a77471859
1218675650654
139ccc72b0a1
1451bd824796
152b599d7de7
hex18b0a570a0

106042847392 has 24 divisors (see below), whose sum is σ = 213863854932. Its totient is φ = 51728217600.

The previous prime is 106042847371. The next prime is 106042847441. The reversal of 106042847392 is 293748240601.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 101707415056 + 4335432336 = 318916^2 + 65844^2 .

It is a super-2 number, since 2×1060428473922 (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 40411359 + ... + 40413982.

Almost surely, 2106042847392 is an apocalyptic number.

It is an amenable number.

106042847392 is an abundant number, since it is smaller than the sum of its proper divisors (107821007540).

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

106042847392 is an equidigital number, since it uses as much as digits as its factorization.

106042847392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80825392 (or 80825384 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 46.

The spelling of 106042847392 in words is "one hundred six billion, forty-two million, eight hundred forty-seven thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 41 82 164 328 656 1312 80825341 161650682 323301364 646602728 1293205456 2586410912 3313838981 6627677962 13255355924 26510711848 53021423696 106042847392