Search a number
-
+
113645465360 = 2457769263899
BaseRepresentation
bin110100111010111001…
…1000010111100010000
3101212100010222210201122
41221311303002330100
53330221214342420
6124112532421412
711132145342230
oct1516563027420
9355303883648
10113645465360
11442189a21a9
121a037777868
13a9418383bb
145701409cc0
152e5218a725
hex1a75cc2f10

113645465360 has 80 divisors (see below), whose sum is σ = 302366064000. Its totient is φ = 38913343488.

The previous prime is 113645465359. The next prime is 113645465369. The reversal of 113645465360 is 63564546311.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (113645465369) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298691 + ... + 562589.

It is an arithmetic number, because the mean of its divisors is an integer number (3779575800).

Almost surely, 2113645465360 is an apocalyptic number.

113645465360 is a gapful number since it is divisible by the number (10) 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 113645465360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151183032000).

113645465360 is an abundant number, since it is smaller than the sum of its proper divisors (188720598640).

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

113645465360 is a wasteful number, since it uses less digits than its factorization.

113645465360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264688 (or 264682 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 44.

The spelling of 113645465360 in words is "one hundred thirteen billion, six hundred forty-five million, four hundred sixty-five thousand, three hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 769 1538 3076 3845 5383 6152 7690 10766 12304 15380 21532 26915 30760 43064 53830 61520 86128 107660 215320 263899 430640 527798 1055596 1319495 1847293 2111192 2638990 3694586 4222384 5277980 7389172 9236465 10555960 14778344 18472930 21111920 29556688 36945860 73891720 147783440 202938331 405876662 811753324 1014691655 1420568317 1623506648 2029383310 2841136634 3247013296 4058766620 5682273268 7102841585 8117533240 11364546536 14205683170 16235066480 22729093072 28411366340 56822732680 113645465360