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2118354048 = 273211316273
BaseRepresentation
bin111111001000011…
…1000010010000000
312110122001112110100
41332100320102000
513314244312143
6550111402400
7103331466216
oct17620702200
95418045410
102118354048
11997834828
124b1523400
13279b46045
141614a6cb6
15c5e906d3
hex7e438480

2118354048 has 96 divisors (see below), whose sum is σ = 6150107340. Its totient is φ = 699826176.

The previous prime is 2118354047. The next prime is 2118354067. The reversal of 2118354048 is 8404538112.

2118354048 is a `hidden beast` number, since 211 + 8 + 35 + 404 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2116736064 + 1617984 = 46008^2 + 1272^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2118354041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 122040 + ... + 138312.

Almost surely, 22118354048 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 2118354048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3075053670).

2118354048 is an abundant number, since it is smaller than the sum of its proper divisors (4031753292).

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

2118354048 is a wasteful number, since it uses less digits than its factorization.

2118354048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16406 (or 16391 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2118354048 is about 46025.5803657053. The cubic root of 2118354048 is about 1284.2991121944.

The spelling of 2118354048 in words is "two billion, one hundred eighteen million, three hundred fifty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 113 128 144 192 226 288 339 384 452 576 678 904 1017 1152 1356 1808 2034 2712 3616 4068 5424 7232 8136 10848 14464 16272 16273 21696 32544 32546 43392 48819 65088 65092 97638 130176 130184 146457 195276 260368 292914 390552 520736 585828 781104 1041472 1171656 1562208 1838849 2082944 2343312 3124416 3677698 4686624 5516547 6248832 7355396 9373248 11033094 14710792 16549641 18746496 22066188 29421584 33099282 44132376 58843168 66198564 88264752 117686336 132397128 176529504 235372672 264794256 353059008 529588512 706118016 1059177024 2118354048