Search a number
-
+
96073714338 = 23737193320329
BaseRepresentation
bin101100101111001110…
…0001000101010100010
3100011222112122100212020
41121132130020222202
53033224332324323
6112045145042310
76640540045350
oct1313634105242
9304875570766
1096073714338
113782111a618
1216752a86396
1390a125a3a4
1449158187d0
1527746c5ae3
hex165e708aa2

96073714338 has 64 divisors (see below), whose sum is σ = 226701384960. Its totient is φ = 26569285632.

The previous prime is 96073714333. The next prime is 96073714343. The reversal of 96073714338 is 83341737069.

It is an interprime number because it is at equal distance from previous prime (96073714333) and next prime (96073714343).

It is not an unprimeable number, because it can be changed into a prime (96073714333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139758 + ... + 460086.

It is an arithmetic number, because the mean of its divisors is an integer number (3542209140).

Almost surely, 296073714338 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96073714338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113350692480).

96073714338 is an abundant number, since it is smaller than the sum of its proper divisors (130627670622).

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

96073714338 is a wasteful number, since it uses less digits than its factorization.

96073714338 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320571.

The product of its (nonzero) digits is 2286144, while the sum is 51.

The spelling of 96073714338 in words is "ninety-six billion, seventy-three million, seven hundred fourteen thousand, three hundred thirty-eight".

Divisors: 1 2 3 6 7 14 21 37 42 74 111 193 222 259 386 518 579 777 1158 1351 1554 2702 4053 7141 8106 14282 21423 42846 49987 99974 149961 299922 320329 640658 960987 1921974 2242303 4484606 6726909 11852173 13453818 23704346 35556519 61823497 71113038 82965211 123646994 165930422 185470491 248895633 370940982 432764479 497791266 865528958 1298293437 2287469389 2596586874 4574938778 6862408167 13724816334 16012285723 32024571446 48036857169 96073714338