Search a number
-
+
9801732348 = 2233237974951
BaseRepresentation
bin10010010000011101…
…01001000011111100
3221022002200121001000
421020032221003330
5130033220413343
64300341050300
7464616231102
oct111016510374
927262617030
109801732348
11417a905651
121a966b6990
13c028bb835
1468dab1c72
153c5796ed3
hex2483a90fc

9801732348 has 96 divisors (see below), whose sum is σ = 26555397120. Its totient is φ = 3120638400.

The previous prime is 9801732337. The next prime is 9801732373. The reversal of 9801732348 is 8432371089.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1977273 + ... + 1982223.

It is an arithmetic number, because the mean of its divisors is an integer number (276618720).

Almost surely, 29801732348 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 9801732348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13277698560).

9801732348 is an abundant number, since it is smaller than the sum of its proper divisors (16753664772).

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

9801732348 is a wasteful number, since it uses less digits than its factorization.

9801732348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5784 (or 5776 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 9801732348 is about 99003.6986581815. The cubic root of 9801732348 is about 2140.1010483045.

The spelling of 9801732348 in words is "nine billion, eight hundred one million, seven hundred thirty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 69 92 108 138 207 276 414 621 797 828 1242 1594 2391 2484 3188 4782 4951 7173 9564 9902 14346 14853 18331 19804 21519 28692 29706 36662 43038 44559 54993 59412 73324 86076 89118 109986 113873 133677 164979 178236 219972 227746 267354 329958 341619 455492 494937 534708 659916 683238 989874 1024857 1366476 1979748 2049714 3074571 3945947 4099428 6149142 7891894 11837841 12298284 15783788 23675682 35513523 47351364 71027046 90756781 106540569 142054092 181513562 213081138 272270343 363027124 426162276 544540686 816811029 1089081372 1633622058 2450433087 3267244116 4900866174 9801732348