Search a number
-
+
17081444416 = 26172314
BaseRepresentation
bin11111110100010001…
…00010100001000000
31122002102202021122111
433322020202201000
5234440322210131
611502550345104
71143202611331
oct177210424100
948072667574
1017081444416
117276037013
12338865b194
1317c2b3b07a
14b80840288
1569e913ab1
hex3fa222840

17081444416 has 105 divisors (see below), whose sum is σ = 37207397645. Its totient is φ = 7779025920.

The previous prime is 17081444363. The next prime is 17081444423. The reversal of 17081444416 is 61444418071.

The square root of 17081444416 is 130696.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 13298702400 + 3782742016 = 115320^2 + 61504^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 551014321 + ... + 551014351.

Almost surely, 217081444416 is an apocalyptic number.

17081444416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

17081444416 is the 130696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 17081444416

17081444416 is an abundant number, since it is smaller than the sum of its proper divisors (20125953229).

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

17081444416 is an frugal number, since it uses more digits than its factorization.

17081444416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 40.

The spelling of 17081444416 in words is "seventeen billion, eighty-one million, four hundred forty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 17 31 32 34 62 64 68 124 136 248 272 289 496 527 544 578 961 992 1054 1088 1156 1922 1984 2108 2312 3844 4216 4624 7688 8432 8959 9248 15376 16337 16864 17918 18496 29791 30752 32674 33728 35836 59582 61504 65348 71672 119164 130696 143344 238328 261392 277729 286688 476656 506447 522784 555458 573376 923521 953312 1012894 1045568 1110916 1847042 1906624 2025788 2221832 3694084 4051576 4443664 7388168 8103152 8609599 8887328 14776336 15699857 16206304 17219198 17774656 29552672 31399714 32412608 34438396 59105344 62799428 68876792 125598856 137753584 251197712 266897569 275507168 502395424 533795138 551014336 1004790848 1067590276 2135180552 4270361104 8540722208 17081444416