Search a number
-
+
2148716349 = 331313944041
BaseRepresentation
bin1000000000010010…
…1100111100111101
312112202012002201000
42000010230330331
513400032410344
6553114240513
7104150534103
oct20004547475
95482162630
102148716349
11a0299243a
124bb726139
13283216bc0
1416552bc73
15c898ba69
hex8012cf3d

2148716349 has 32 divisors (see below), whose sum is σ = 3452892800. Its totient is φ = 1312744320.

The previous prime is 2148716333. The next prime is 2148716369. The reversal of 2148716349 is 9436178412.

2148716349 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 7 + 1 + 634 + 9 = 666.

It is not a de Polignac number, because 2148716349 - 24 = 2148716333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2148716369) 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, 26769 + ... + 70809.

It is an arithmetic number, because the mean of its divisors is an integer number (107902900).

Almost surely, 22148716349 is an apocalyptic number.

It is an amenable number.

2148716349 is a deficient number, since it is larger than the sum of its proper divisors (1304176451).

2148716349 is a wasteful number, since it uses less digits than its factorization.

2148716349 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44202 (or 44196 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The square root of 2148716349 is about 46354.2484460702. The cubic root of 2148716349 is about 1290.4059674139.

The spelling of 2148716349 in words is "two billion, one hundred forty-eight million, seven hundred sixteen thousand, three hundred forty-nine".

Divisors: 1 3 9 13 27 39 117 139 351 417 1251 1807 3753 5421 16263 44041 48789 132123 396369 572533 1189107 1717599 5152797 6121699 15458391 18365097 55095291 79582087 165285873 238746261 716238783 2148716349