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14972283592 = 2372612932137
BaseRepresentation
bin11011111000110101…
…01110101011001000
31102122102222210220221
431330122232223020
5221130401033332
610513403555424
71040012211400
oct157432565310
942572883827
1014972283592
1163935112a2
122a9a22bb74
131547b93606
14a2068b800
155c968c297
hex37c6aeac8

14972283592 has 96 divisors (see below), whose sum is σ = 33320601720. Its totient is φ = 6287016960.

The previous prime is 14972283569. The next prime is 14972283593. The reversal of 14972283592 is 29538227941.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 8691087076 + 6281196516 = 93226^2 + 79254^2 .

It is not an unprimeable number, because it can be changed into a prime (14972283593) 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 23 ways as a sum of consecutive naturals, for example, 7005148 + ... + 7007284.

Almost surely, 214972283592 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 14972283592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16660300860).

14972283592 is an abundant number, since it is smaller than the sum of its proper divisors (18348318128).

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

14972283592 is a wasteful number, since it uses less digits than its factorization.

14972283592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2511 (or 2500 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 52.

The spelling of 14972283592 in words is "fourteen billion, nine hundred seventy-two million, two hundred eighty-three thousand, five hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 61 98 122 196 244 293 392 427 488 586 854 1172 1708 2051 2137 2344 2989 3416 4102 4274 5978 8204 8548 11956 14357 14959 16408 17096 17873 23912 28714 29918 35746 57428 59836 71492 104713 114856 119672 125111 130357 142984 209426 250222 260714 418852 500444 521428 626141 837704 875777 912499 1000888 1042856 1252282 1751554 1824998 2504564 3503108 3649996 4382987 5009128 6387493 7006216 7299992 8765974 12774986 17531948 25549972 30680909 35063896 38194601 51099944 61361818 76389202 122723636 152778404 245447272 267362207 305556808 534724414 1069448828 1871535449 2138897656 3743070898 7486141796 14972283592