Search a number
-
+
2113529152 = 26725911423
BaseRepresentation
bin111110111111001…
…1110010101000000
312110021222101221111
41331332132111000
513312030413102
6545420133104
7103242462400
oct17576362500
95407871844
102113529152
11995039809
124ab997194
13278b46b87
141609ac800
15c583acd7
hex7df9e540

2113529152 has 84 divisors (see below), whose sum is σ = 4961900160. Its totient is φ = 890367744.

The previous prime is 2113529123. The next prime is 2113529153. The reversal of 2113529152 is 2519253112.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113529153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 179313 + ... + 190735.

It is an arithmetic number, because the mean of its divisors is an integer number (59070240).

Almost surely, 22113529152 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 2113529152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480950080).

2113529152 is an abundant number, since it is smaller than the sum of its proper divisors (2848371008).

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

2113529152 is a wasteful number, since it uses less digits than its factorization.

2113529152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11508 (or 11491 counting only the distinct ones).

The product of its digits is 5400, while the sum is 31.

The square root of 2113529152 is about 45973.1351117150. The cubic root of 2113529152 is about 1283.3233042375.

The spelling of 2113529152 in words is "two billion, one hundred thirteen million, five hundred twenty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 59 64 98 112 118 196 224 236 392 413 448 472 784 826 944 1568 1652 1888 2891 3136 3304 3776 5782 6608 11423 11564 13216 22846 23128 26432 45692 46256 79961 91384 92512 159922 182768 185024 319844 365536 559727 639688 673957 731072 1119454 1279376 1347914 2238908 2558752 2695828 4477816 4717699 5117504 5391656 8955632 9435398 10783312 17911264 18870796 21566624 33023893 35822528 37741592 43133248 66047786 75483184 132095572 150966368 264191144 301932736 528382288 1056764576 2113529152