Search a number
-
+
8714295072 = 2532714892903
BaseRepresentation
bin10000001110110100…
…11001011100100000
3211111022111001112100
420013122121130200
5120321324420242
64000413330400
7425643200040
oct100732313440
924438431470
108714295072
113771aa095a
121832496a00
13a8b519022
145c94c3720
1536009354c
hex207699720

8714295072 has 144 divisors (see below), whose sum is σ = 28350241920. Its totient is φ = 2487269376.

The previous prime is 8714295053. The next prime is 8714295097. The reversal of 8714295072 is 2705924178.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3000373 + ... + 3003275.

It is an arithmetic number, because the mean of its divisors is an integer number (196876680).

Almost surely, 28714295072 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 8714295072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14175120960).

8714295072 is an abundant number, since it is smaller than the sum of its proper divisors (19635946848).

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

8714295072 is a wasteful number, since it uses less digits than its factorization.

8714295072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4415 (or 4404 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The square root of 8714295072 is about 93350.3887083498. The cubic root of 8714295072 is about 2057.8359679659.

The spelling of 8714295072 in words is "eight billion, seven hundred fourteen million, two hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 672 1008 1489 2016 2903 2978 4467 5806 5956 8709 8934 10423 11612 11912 13401 17418 17868 20321 20846 23224 23824 26127 26802 31269 34836 35736 40642 41692 46448 47648 52254 53604 60963 62538 69672 71472 81284 83384 92896 93807 104508 107208 121926 125076 139344 142944 162568 166768 182889 187614 209016 214416 243852 250152 278688 325136 333536 365778 375228 418032 428832 487704 500304 650272 731556 750456 836064 975408 1000608 1463112 1500912 1950816 2926224 3001824 4322567 5852448 8645134 12967701 17290268 25935402 30257969 34580536 38903103 51870804 60515938 69161072 77806206 90773907 103741608 121031876 138322144 155612412 181547814 207483216 242063752 272321721 311224824 363095628 414966432 484127504 544643442 622449648 726191256 968255008 1089286884 1244899296 1452382512 2178573768 2904765024 4357147536 8714295072