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1980915993 = 34723371481
BaseRepresentation
bin111011000010010…
…0110000100011001
312010001102221220000
41312010212010121
513024103302433
6524321523213
7100042336200
oct16604460431
95101387800
101980915993
119271a2561
124734a3509
13257524b54
1414b12c237
15b8d93113
hex76126119

1980915993 has 60 divisors (see below), whose sum is σ = 3454817652. Its totient is φ = 1127831040.

The previous prime is 1980915983. The next prime is 1980916033. The reversal of 1980915993 is 3995190891.

It can be written as a sum of positive squares in 2 ways, for example, as 686859264 + 1294056729 = 26208^2 + 35973^2 .

It is not a de Polignac number, because 1980915993 - 24 = 1980915977 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1980915983) 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 59 ways as a sum of consecutive naturals, for example, 1336813 + ... + 1338293.

Almost surely, 21980915993 is an apocalyptic number.

It is an amenable number.

1980915993 is a deficient number, since it is larger than the sum of its proper divisors (1473901659).

1980915993 is a wasteful number, since it uses less digits than its factorization.

1980915993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1844 (or 1828 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 54.

The square root of 1980915993 is about 44507.4824383496. The cubic root of 1980915993 is about 1255.9008453595.

The spelling of 1980915993 in words is "one billion, nine hundred eighty million, nine hundred fifteen thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 337 441 567 1011 1323 1481 2359 3033 3969 4443 7077 9099 10367 13329 16513 21231 27297 31101 39987 49539 63693 72569 93303 119961 148617 191079 217707 279909 445851 499097 653121 839727 1337553 1497291 1959363 3493679 4491873 5878089 10481037 13475619 24455753 31443111 40426857 73367259 94329333 220101777 282987999 660305331 1980915993