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3980087969 = 113132373137
BaseRepresentation
bin1110110100111011…
…0101001010100001
3101021101020102021112
43231032311022201
531122400303334
61454535033105
7200426122004
oct35516651241
911241212245
103980087969
111762724000
12930b0b795
134b576c350
1429a84d53b
151846404ce
hexed3b52a1

3980087969 has 64 divisors (see below), whose sum is σ = 5023323648. Its totient is φ = 3127956480.

The previous prime is 3980087963. The next prime is 3980087983. The reversal of 3980087969 is 9697800893.

It is not a de Polignac number, because 3980087969 - 24 = 3980087953 is a prime.

It is a super-2 number, since 2×39800879692 = 31682200481957089922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3980087963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29051669 + ... + 29051805.

It is an arithmetic number, because the mean of its divisors is an integer number (78489432).

Almost surely, 23980087969 is an apocalyptic number.

It is an amenable number.

3980087969 is a deficient number, since it is larger than the sum of its proper divisors (1043235679).

3980087969 is a wasteful number, since it uses less digits than its factorization.

3980087969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279 (or 257 counting only the distinct ones).

The product of its (nonzero) digits is 5878656, while the sum is 59.

The square root of 3980087969 is about 63087.9383796935. The cubic root of 3980087969 is about 1584.7626375175.

It can be divided in two parts, 39 and 80087969, that added together give a palindrome (80088008).

The spelling of 3980087969 in words is "three billion, nine hundred eighty million, eighty-seven thousand, nine hundred sixty-nine".

Divisors: 1 11 13 23 73 121 137 143 253 299 803 949 1331 1507 1573 1679 1781 2783 3151 3289 8833 10001 10439 16577 17303 18469 19591 21827 30613 34661 36179 40963 97163 110011 114829 130013 182347 203159 215501 230023 240097 381271 397969 450593 1210121 1263119 1430143 2234749 2370511 2530253 2641067 2990299 4193981 4956523 13311331 15731573 27832783 29051737 32893289 54521753 173047303 306160613 361826179 3980087969