Search a number
-
+
17140228848 = 2432316196203
BaseRepresentation
bin11111111011010001…
…10010001011110000
31122020112100211201200
433331220302023300
5240100344310343
611512450331200
71144515353451
oct177550621360
948215324650
1017140228848
1172a6237696
1233a4289b00
131802080962
14b88583128
156a4b764d3
hex3fda322f0

17140228848 has 120 divisors (see below), whose sum is σ = 49604206080. Its totient is φ = 5519283840.

The previous prime is 17140228841. The next prime is 17140228877. The reversal of 17140228848 is 84882204171.

It is a super-2 number, since 2×171402288482 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (17140228841) 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, 2760115 + ... + 2766317.

It is an arithmetic number, because the mean of its divisors is an integer number (413368384).

Almost surely, 217140228848 is an apocalyptic number.

17140228848 is a gapful number since it is divisible by the number (18) 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 17140228848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24802103040).

17140228848 is an abundant number, since it is smaller than the sum of its proper divisors (32463977232).

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

17140228848 is a wasteful number, since it uses less digits than its factorization.

17140228848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6867 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 17140228848 in words is "seventeen billion, one hundred forty million, two hundred twenty-eight thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 619 744 1116 1238 1488 1857 2232 2476 3714 4464 4952 5571 6203 7428 9904 11142 12406 14856 18609 19189 22284 24812 29712 37218 38378 44568 49624 55827 57567 74436 76756 89136 99248 111654 115134 148872 153512 172701 192293 223308 230268 297744 307024 345402 384586 446616 460536 576879 690804 769172 893232 921072 1153758 1381608 1538344 1730637 2307516 2763216 3076688 3461274 3839657 4615032 6922548 7679314 9230064 11518971 13845096 15358628 23037942 27690192 30717256 34556913 46075884 61434512 69113826 92151768 119029367 138227652 184303536 238058734 276455304 357088101 476117468 552910608 714176202 952234936 1071264303 1428352404 1904469872 2142528606 2856704808 4285057212 5713409616 8570114424 17140228848