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1979916972 = 2231153283007
BaseRepresentation
bin111011000000011…
…0010001010101100
312002222120012111020
41312000302022230
513023324320342
6524244254140
7100031005455
oct16600621254
95088505436
101979916972
1192667aa20
124730a1350
13257265207
1414ad4c12c
15b8c470ec
hex760322ac

1979916972 has 48 divisors (see below), whose sum is σ = 5134897152. Its totient is φ = 588652480.

The previous prime is 1979916947. The next prime is 1979916997. The reversal of 1979916972 is 2796199791.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1979916947) and next prime (1979916997).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 134508 + ... + 148499.

It is an arithmetic number, because the mean of its divisors is an integer number (106977024).

Almost surely, 21979916972 is an apocalyptic number.

1979916972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1979916972 is an abundant number, since it is smaller than the sum of its proper divisors (3154980180).

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

1979916972 is a wasteful number, since it uses less digits than its factorization.

1979916972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 283078 (or 283076 counting only the distinct ones).

The product of its digits is 3857868, while the sum is 60.

The square root of 1979916972 is about 44496.2579550236. The cubic root of 1979916972 is about 1255.6896834019.

The spelling of 1979916972 in words is "one billion, nine hundred seventy-nine million, nine hundred sixteen thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 106 132 159 212 318 583 636 1166 1749 2332 3498 6996 283007 566014 849021 1132028 1698042 3113077 3396084 6226154 9339231 12452308 14999371 18678462 29998742 37356924 44998113 59997484 89996226 164993081 179992452 329986162 494979243 659972324 989958486 1979916972