Search a number
-
+
1908098016 = 253114144071
BaseRepresentation
bin111000110111011…
…0100001111100000
311220222102102101220
41301232310033200
512401433114031
6513201055040
765166364656
oct16156641740
94828372356
101908098016
1189a087310
12453027480
1324540a7a6
141415b4dd6
15b27ac596
hex71bb43e0

1908098016 has 96 divisors (see below), whose sum is σ = 5597496576. Its totient is φ = 564096000.

The previous prime is 1908097991. The next prime is 1908098063. The reversal of 1908098016 is 6108908091.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21261 + ... + 65331.

It is an arithmetic number, because the mean of its divisors is an integer number (58307256).

Almost surely, 21908098016 is an apocalyptic number.

1908098016 is a gapful number since it is divisible by the number (16) 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 1908098016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2798748288).

1908098016 is an abundant number, since it is smaller than the sum of its proper divisors (3689398560).

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

1908098016 is a wasteful number, since it uses less digits than its factorization.

1908098016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44136 (or 44128 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 42.

The square root of 1908098016 is about 43681.7812823607. The cubic root of 1908098016 is about 1240.3194667681.

The spelling of 1908098016 in words is "one billion, nine hundred eight million, ninety-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 41 44 48 66 82 88 96 123 132 164 176 246 264 328 352 451 492 528 656 902 984 1056 1312 1353 1804 1968 2706 3608 3936 5412 7216 10824 14432 21648 43296 44071 88142 132213 176284 264426 352568 484781 528852 705136 969562 1057704 1410272 1454343 1806911 1939124 2115408 2908686 3613822 3878248 4230816 5420733 5817372 7227644 7756496 10841466 11634744 14455288 15512992 19876021 21682932 23269488 28910576 39752042 43365864 46538976 57821152 59628063 79504084 86731728 119256126 159008168 173463456 238512252 318016336 477024504 636032672 954049008 1908098016