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2136041472 = 2113675189
BaseRepresentation
bin111111101010001…
…0110100000000000
312111212100011001010
41333110112200000
513333311311342
6551542440520
7103635024105
oct17724264000
95455304033
102136041472
119a6815634
124b7433140
132806c9986
1416398caac
15c77d629c
hex7f516800

2136041472 has 96 divisors (see below), whose sum is σ = 5780829600. Its totient is φ = 701251584.

The previous prime is 2136041443. The next prime is 2136041473. The reversal of 2136041472 is 2741406312.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2136041473) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 409054 + ... + 414242.

It is an arithmetic number, because the mean of its divisors is an integer number (60216975).

Almost surely, 22136041472 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2136041472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2890414800).

2136041472 is an abundant number, since it is smaller than the sum of its proper divisors (3644788128).

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

2136041472 is an equidigital number, since it uses as much as digits as its factorization.

2136041472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5281 (or 5261 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

The square root of 2136041472 is about 46217.3286982275. The cubic root of 2136041472 is about 1287.8636739578.

Adding to 2136041472 its reverse (2741406312), we get a palindrome (4877447784).

The spelling of 2136041472 in words is "two billion, one hundred thirty-six million, forty-one thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1024 1072 1536 1608 2048 2144 3072 3216 4288 5189 6144 6432 8576 10378 12864 15567 17152 20756 25728 31134 34304 41512 51456 62268 68608 83024 102912 124536 137216 166048 205824 249072 332096 347663 411648 498144 664192 695326 996288 1042989 1328384 1390652 1992576 2085978 2656768 2781304 3985152 4171956 5313536 5562608 7970304 8343912 10627072 11125216 15940608 16687824 22250432 31881216 33375648 44500864 66751296 89001728 133502592 178003456 267005184 356006912 534010368 712013824 1068020736 2136041472