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9049050816 = 2631323157627
BaseRepresentation
bin10000110110101110…
…11000111011000000
3212100122101102002020
420123113120323000
5122013024111231
64053532321440
7440146443231
oct103327307300
925318342066
109049050816
113923a538a3
121906613280
13b12995650
1461bb43088
1537e66a396
hex21b5d8ec0

9049050816 has 112 divisors (see below), whose sum is σ = 26905208064. Its totient is φ = 2663248896.

The previous prime is 9049050779. The next prime is 9049050823. The reversal of 9049050816 is 6180509409.

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 polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21406 + ... + 136221.

It is an arithmetic number, because the mean of its divisors is an integer number (240225072).

Almost surely, 29049050816 is an apocalyptic number.

9049050816 is a gapful number since it is divisible by the number (96) 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 9049050816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13452604032).

9049050816 is an abundant number, since it is smaller than the sum of its proper divisors (17856157248).

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

9049050816 is a wasteful number, since it uses less digits than its factorization.

9049050816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157678 (or 157668 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The square root of 9049050816 is about 95126.4990210404. The cubic root of 9049050816 is about 2083.8558604901.

The spelling of 9049050816 in words is "nine billion, forty-nine million, fifty thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 32 39 46 48 52 64 69 78 92 96 104 138 156 184 192 208 276 299 312 368 416 552 598 624 736 832 897 1104 1196 1248 1472 1794 2208 2392 2496 3588 4416 4784 7176 9568 14352 19136 28704 57408 157627 315254 472881 630508 945762 1261016 1891524 2049151 2522032 3625421 3783048 4098302 5044064 6147453 7250842 7566096 8196604 10088128 10876263 12294906 14501684 15132192 16393208 21752526 24589812 29003368 30264384 32786416 43505052 47130473 49179624 58006736 65572832 87010104 94260946 98359248 116013472 131145664 141391419 174020208 188521892 196718496 232026944 282782838 348040416 377043784 393436992 565565676 696080832 754087568 1131131352 1508175136 2262262704 3016350272 4524525408 9049050816