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1981917312 = 2735161243
BaseRepresentation
bin111011000100001…
…1010100010000000
312010010022211102220
41312020122202000
513024332323222
6524355211040
7100054006404
oct16610324200
95103284386
101981917312
119278168a1
124738a6a80
132577b584b
1414b30d104
15b8edeb5c
hex7621a880

1981917312 has 32 divisors (see below), whose sum is σ = 5264468880. Its totient is φ = 660638976.

The previous prime is 1981917293. The next prime is 1981917313. The reversal of 1981917312 is 2137191891.

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1981917313) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 2580238 + ... + 2581005.

Almost surely, 21981917312 is an apocalyptic number.

1981917312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1981917312 is an abundant number, since it is smaller than the sum of its proper divisors (3282551568).

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

1981917312 is an equidigital number, since it uses as much as digits as its factorization.

1981917312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5161260 (or 5161248 counting only the distinct ones).

The product of its digits is 27216, while the sum is 42.

The square root of 1981917312 is about 44518.7299010203. The cubic root of 1981917312 is about 1256.1124218140.

The spelling of 1981917312 in words is "one billion, nine hundred eighty-one million, nine hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5161243 10322486 15483729 20644972 30967458 41289944 61934916 82579888 123869832 165159776 247739664 330319552 495479328 660639104 990958656 1981917312