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2139291162 = 23419767033
BaseRepresentation
bin111111110000010…
…1111111000011010
312112002110020210000
41333200233320122
513340124304122
6552140233430
7104004450321
oct17740577032
95462406700
102139291162
119a8635128
124b853b876
13281296b78
141641970b8
15c7c290ac
hex7f82fe1a

2139291162 has 40 divisors (see below), whose sum is σ = 4818001716. Its totient is φ = 709466688.

The previous prime is 2139291139. The next prime is 2139291163. The reversal of 2139291162 is 2611929312.

2139291162 is a `hidden beast` number, since 21 + 392 + 91 + 162 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2139155001 + 136161 = 46251^2 + 369^2 .

It is a super-2 number, since 2×21392911622 = 9153133351622620488, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (2139291163) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 1603 + ... + 65430.

Almost surely, 22139291162 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2139291162, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2409000858).

2139291162 is an abundant number, since it is smaller than the sum of its proper divisors (2678710554).

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

2139291162 is a wasteful number, since it uses less digits than its factorization.

2139291162 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67244 (or 67235 counting only the distinct ones).

The product of its digits is 11664, while the sum is 36.

The square root of 2139291162 is about 46252.4719555615. The cubic root of 2139291162 is about 1288.5164448538.

The spelling of 2139291162 in words is "two billion, one hundred thirty-nine million, two hundred ninety-one thousand, one hundred sixty-two".

Divisors: 1 2 3 6 9 18 27 54 81 162 197 394 591 1182 1773 3546 5319 10638 15957 31914 67033 134066 201099 402198 603297 1206594 1809891 3619782 5429673 10859346 13205501 26411002 39616503 79233006 118849509 237699018 356548527 713097054 1069645581 2139291162