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2162137248 = 253217441613
BaseRepresentation
bin1000000011011111…
…1001100010100000
312120200102221201100
42000313321202200
513412001342443
6554314034400
7104402602065
oct20067714240
95520387640
102162137248
11a0a519797
12504118a00
13285c3586b
14167222c6c
15c9c3d3d3
hex80df98a0

2162137248 has 72 divisors (see below), whose sum is σ = 6510273588. Its totient is φ = 678316032.

The previous prime is 2162137213. The next prime is 2162137297. The reversal of 2162137248 is 8427312612.

It is a happy number.

2162137248 is a `hidden beast` number, since 2 + 1 + 621 + 3 + 7 + 24 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1834237584 + 327899664 = 42828^2 + 18108^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 215911 + ... + 225702.

Almost surely, 22162137248 is an apocalyptic number.

It is an amenable number.

2162137248 is an abundant number, since it is smaller than the sum of its proper divisors (4348136340).

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

2162137248 is a wasteful number, since it uses less digits than its factorization.

2162137248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441646 (or 441635 counting only the distinct ones).

The product of its digits is 32256, while the sum is 36.

The square root of 2162137248 is about 46498.7875970976. The cubic root of 2162137248 is about 1293.0870217395.

The spelling of 2162137248 in words is "two billion, one hundred sixty-two million, one hundred thirty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 306 408 544 612 816 1224 1632 2448 4896 441613 883226 1324839 1766452 2649678 3532904 3974517 5299356 7065808 7507421 7949034 10598712 14131616 15014842 15898068 21197424 22522263 30029684 31796136 42394848 45044526 60059368 63592272 67566789 90089052 120118736 127184544 135133578 180178104 240237472 270267156 360356208 540534312 720712416 1081068624 2162137248