Search a number
-
+
17090753424 = 2436716332603
BaseRepresentation
bin11111110101011000…
…00011001110010000
31122010002021020012120
433322230003032100
5240000213102144
611503522054240
71143345002313
oct177254031620
948102236176
1017090753424
117280315008
12338b7aa380
1317c4a4a264
14b81b8497a
156a0651e19
hex3fab03390

17090753424 has 80 divisors (see below), whose sum is σ = 45086376192. Its totient is φ = 5577289344.

The previous prime is 17090753413. The next prime is 17090753473. The reversal of 17090753424 is 42435709071.

17090753424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 507907 + ... + 540509.

Almost surely, 217090753424 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 17090753424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22543188096).

17090753424 is an abundant number, since it is smaller than the sum of its proper divisors (27995622768).

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

17090753424 is a wasteful number, since it uses less digits than its factorization.

17090753424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32844 (or 32838 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 42.

The spelling of 17090753424 in words is "seventeen billion, ninety million, seven hundred fifty-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 67 134 163 201 268 326 402 489 536 652 804 978 1072 1304 1608 1956 2608 3216 3912 7824 10921 21842 32603 32763 43684 65206 65526 87368 97809 130412 131052 174736 195618 260824 262104 391236 521648 524208 782472 1564944 2184401 4368802 5314289 6553203 8737604 10628578 13106406 15942867 17475208 21257156 26212812 31885734 34950416 42514312 52425624 63771468 85028624 104851248 127542936 255085872 356057363 712114726 1068172089 1424229452 2136344178 2848458904 4272688356 5696917808 8545376712 17090753424