Search a number
-
+
2353135324360 = 23558828383109
BaseRepresentation
bin100010001111100001110…
…010111000110011001000
322022221212001021000210111
4202033201302320303020
5302023210120334420
65001003200324104
7332002613143462
oct42174162706310
98287761230714
102353135324360
11827a605a9797
12320078313634
13140b908782c2
1481c6c8b3132
154132540645a
hex223e1cb8cc8

2353135324360 has 16 divisors (see below), whose sum is σ = 5294554479900. Its totient is φ = 941254129728.

The previous prime is 2353135324313. The next prime is 2353135324409. The reversal of 2353135324360 is 634235313532.

It can be written as a sum of positive squares in 2 ways, for example, as 2339413076196 + 13722248164 = 1529514^2 + 117142^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 58828383109 = 2353135324360 / (2 + 3 + 5 + 3 + 1 + 3 + 5 + 3 + 2 + 4 + 3 + 6 + 0).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 29414191515 + ... + 29414191594.

Almost surely, 22353135324360 is an apocalyptic number.

2353135324360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2353135324360 is an abundant number, since it is smaller than the sum of its proper divisors (2941419155540).

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

2353135324360 is a wasteful number, since it uses less digits than its factorization.

2353135324360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58828383120 (or 58828383116 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 40.

The spelling of 2353135324360 in words is "two trillion, three hundred fifty-three billion, one hundred thirty-five million, three hundred twenty-four thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 58828383109 117656766218 235313532436 294141915545 470627064872 588283831090 1176567662180 2353135324360