Search a number
-
+
2148113792 = 27111818429
BaseRepresentation
bin1000000000001001…
…1001110110000000
312112201001111011002
42000002121312000
513344404120132
6553053311132
7104142444266
oct20002316600
95481044132
102148113792
11a02610760
124bb4954a8
13283065866
14165412436
15c88bd262
hex80099d80

2148113792 has 64 divisors (see below), whose sum is σ = 4694835600. Its totient is φ = 970905600.

The previous prime is 2148113789. The next prime is 2148113801. The reversal of 2148113792 is 2973118412.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×21481137922 = 9228785726761238528, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 250634 + ... + 259062.

Almost surely, 22148113792 is an apocalyptic number.

2148113792 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2148113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2347417800).

2148113792 is an abundant number, since it is smaller than the sum of its proper divisors (2546721808).

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

2148113792 is a wasteful number, since it uses less digits than its factorization.

2148113792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8635 (or 8623 counting only the distinct ones).

The product of its digits is 24192, while the sum is 38.

The square root of 2148113792 is about 46347.7485105803. The cubic root of 2148113792 is about 1290.2853347950.

The spelling of 2148113792 in words is "two billion, one hundred forty-eight million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 181 352 362 704 724 1408 1448 1991 2896 3982 5792 7964 8429 11584 15928 16858 23168 31856 33716 63712 67432 92719 127424 134864 185438 254848 269728 370876 539456 741752 1078912 1483504 1525649 2967008 3051298 5934016 6102596 11868032 12205192 16782139 24410384 33564278 48820768 67128556 97641536 134257112 195283072 268514224 537028448 1074056896 2148113792