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1991705216 = 27411911987
BaseRepresentation
bin111011010110111…
…0000001010000000
312010210202002220212
41312231300022000
513034334031331
6525345053252
7100233133514
oct16655601200
95123662825
101991705216
119322a1676
12477027228
132598319c7
1414c73a144
15b9cc4d2b
hex76b70280

1991705216 has 64 divisors (see below), whose sum is σ = 4087964160. Its totient is φ = 965990400.

The previous prime is 1991705213. The next prime is 1991705273. The reversal of 1991705216 is 6125071991.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is not an unprimeable number, because it can be changed into a prime (1991705213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1001375 + ... + 1003361.

It is an arithmetic number, because the mean of its divisors is an integer number (63874440).

Almost surely, 21991705216 is an apocalyptic number.

1991705216 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 1991705216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2043982080).

1991705216 is an abundant number, since it is smaller than the sum of its proper divisors (2096258944).

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

1991705216 is a wasteful number, since it uses less digits than its factorization.

1991705216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2233 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 41.

The square root of 1991705216 is about 44628.5246899335. The cubic root of 1991705216 is about 1258.1768408674.

The spelling of 1991705216 in words is "one billion, nine hundred ninety-one million, seven hundred five thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 32 41 64 82 128 164 191 328 382 656 764 1312 1528 1987 2624 3056 3974 5248 6112 7831 7948 12224 15662 15896 24448 31324 31792 62648 63584 81467 125296 127168 162934 250592 254336 325868 379517 501184 651736 759034 1002368 1303472 1518068 2606944 3036136 5213888 6072272 10427776 12144544 15560197 24289088 31120394 48578176 62240788 124481576 248963152 497926304 995852608 1991705216