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1981331368 = 2317109133657
BaseRepresentation
bin111011000011000…
…1011011110101000
312010002020001200021
41312012023132220
513024210100433
6524334450224
7100046016202
oct16606133650
95102201607
101981331368
11927456645
12473663974
1325763bc33
1414b1d9772
15b8e2622d
hex7618b7a8

1981331368 has 32 divisors (see below), whose sum is σ = 3969642600. Its totient is φ = 923830272.

The previous prime is 1981331357. The next prime is 1981331369. The reversal of 1981331368 is 8631331891.

It can be written as a sum of positive squares in 4 ways, for example, as 1480556484 + 500774884 = 38478^2 + 22378^2 .

It is a super-3 number, since 3×19813313683 (a number of 29 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1981331369) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 52005 + ... + 81652.

Almost surely, 21981331368 is an apocalyptic number.

It is an amenable number.

1981331368 is an abundant number, since it is smaller than the sum of its proper divisors (1988311232).

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

1981331368 is a wasteful number, since it uses less digits than its factorization.

1981331368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133789 (or 133785 counting only the distinct ones).

The product of its digits is 93312, while the sum is 43.

The square root of 1981331368 is about 44512.1485439649. The cubic root of 1981331368 is about 1255.9886218153.

The spelling of 1981331368 in words is "one billion, nine hundred eighty-one million, three hundred thirty-one thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 17 34 68 109 136 218 436 872 1853 3706 7412 14824 133657 267314 534628 1069256 2272169 4544338 9088676 14568613 18177352 29137226 58274452 116548904 247666421 495332842 990665684 1981331368