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1089085816 = 237132575821
BaseRepresentation
bin100000011101010…
…0010000101111000
32210220022021212201
41000322202011320
54212301221231
6300022515544
735663035210
oct10072420570
92726267781
101089085816
11509840325
12264895bb4
1314482bca0
14a48db240
156592c161
hex40ea2178

1089085816 has 64 divisors (see below), whose sum is σ = 2523487680. Its totient is φ = 429096960.

The previous prime is 1089085813. The next prime is 1089085853. The reversal of 1089085816 is 6185809801.

It is a super-2 number, since 2×10890858162 = 2372215829224771712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089085813) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184186 + ... + 190006.

It is an arithmetic number, because the mean of its divisors is an integer number (39429495).

Almost surely, 21089085816 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 1089085816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1261743840).

1089085816 is an abundant number, since it is smaller than the sum of its proper divisors (1434401864).

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

1089085816 is a wasteful number, since it uses less digits than its factorization.

1089085816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6104 (or 6100 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 46.

The square root of 1089085816 is about 33001.3002168096. The cubic root of 1089085816 is about 1028.8546718550.

The spelling of 1089085816 in words is "one billion, eighty-nine million, eighty-five thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 257 364 514 728 1028 1799 2056 3341 3598 5821 6682 7196 11642 13364 14392 23284 23387 26728 40747 46568 46774 75673 81494 93548 151346 162988 187096 302692 325976 529711 605384 1059422 1495997 2118844 2991994 4237688 5983988 10471979 11967976 19447961 20943958 38895922 41887916 77791844 83775832 136135727 155583688 272271454 544542908 1089085816