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1146127983 = 37311137789
BaseRepresentation
bin100010001010000…
…1000011001101111
32221212122100000120
41010110020121233
54321402043413
6305421300023
740254633000
oct10424103157
92855570016
101146127983
11538a60a10
1227ba04613
131535b1850
14ac3091a7
156a948723
hex4450866f

1146127983 has 64 divisors (see below), whose sum is σ = 2093952000. Its totient is φ = 549521280.

The previous prime is 1146127979. The next prime is 1146127999. The reversal of 1146127983 is 3897216411.

It is a happy number.

It is not a de Polignac number, because 1146127983 - 22 = 1146127979 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146127933) 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 63 ways as a sum of consecutive naturals, for example, 143253 + ... + 151041.

It is an arithmetic number, because the mean of its divisors is an integer number (32718000).

Almost surely, 21146127983 is an apocalyptic number.

1146127983 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

1146127983 is a deficient number, since it is larger than the sum of its proper divisors (947824017).

1146127983 is a wasteful number, since it uses less digits than its factorization.

1146127983 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7837 (or 7823 counting only the distinct ones).

The product of its digits is 72576, while the sum is 42.

The square root of 1146127983 is about 33854.5120035720. The cubic root of 1146127983 is about 1046.5123841295.

The spelling of 1146127983 in words is "one billion, one hundred forty-six million, one hundred twenty-seven thousand, nine hundred eighty-three".

Divisors: 1 3 7 11 13 21 33 39 49 77 91 143 147 231 273 343 429 539 637 1001 1029 1617 1911 3003 3773 4459 7007 7789 11319 13377 21021 23367 49049 54523 85679 101257 147147 163569 257037 303771 381661 599753 708799 1113827 1144983 1799259 2126397 2671627 3341481 4198271 4961593 7796789 8014881 12594813 14884779 23390367 29387897 34731151 54577523 88163691 104193453 163732569 382042661 1146127983