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2116556928 = 27321837289
BaseRepresentation
bin111111000101000…
…0001100010000000
312110111200020021100
41332022001202000
513313314310203
6550005054400
7103310302623
oct17612014200
95414606240
102116556928
11996817602
124b09b7400
13279667065
14161159dba
15c5c37ea3
hex7e281880

2116556928 has 48 divisors (see below), whose sum is σ = 6090616350. Its totient is φ = 705518592.

The previous prime is 2116556887. The next prime is 2116556941. The reversal of 2116556928 is 8296556112.

2116556928 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 556 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1964971584 + 151585344 = 44328^2 + 12312^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 917493 + ... + 919796.

Almost surely, 22116556928 is an apocalyptic number.

It is an amenable number.

2116556928 is an abundant number, since it is smaller than the sum of its proper divisors (3974059422).

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

2116556928 is a wasteful number, since it uses less digits than its factorization.

2116556928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1837309 (or 1837294 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The square root of 2116556928 is about 46006.0531669475. The cubic root of 2116556928 is about 1283.9358281610.

The spelling of 2116556928 in words is "two billion, one hundred sixteen million, five hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 1837289 3674578 5511867 7349156 11023734 14698312 16535601 22047468 29396624 33071202 44094936 58793248 66142404 88189872 117586496 132284808 176379744 235172992 264569616 352759488 529139232 705518976 1058278464 2116556928