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3768998673 = 311373086813
BaseRepresentation
bin1110000010100110…
…0101101100010001
3100201200000222012110
43200221211230101
530204330424143
61421554415533
7162253650216
oct34051455421
910650028173
103768998673
111664557540
128922915a9
13480b0173b
1427a7c1b0d
15170d45533
hexe0a65b11

3768998673 has 16 divisors (see below), whose sum is σ = 5630348736. Its totient is φ = 2222504640.

The previous prime is 3768998671. The next prime is 3768998689.

It is a happy number.

3768998673 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3768998673 - 21 = 3768998671 is a prime.

It is a super-3 number, since 3×37689986733 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3768998671) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542186 + ... + 1544627.

It is an arithmetic number, because the mean of its divisors is an integer number (351896796).

Almost surely, 23768998673 is an apocalyptic number.

3768998673 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3768998673 is a deficient number, since it is larger than the sum of its proper divisors (1861350063).

3768998673 is a wasteful number, since it uses less digits than its factorization.

3768998673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3086864.

The product of its digits is 82301184, while the sum is 66.

The square root of 3768998673 is about 61392.1711051173. The cubic root of 3768998673 is about 1556.2355365440.

The spelling of 3768998673 in words is "three billion, seven hundred sixty-eight million, nine hundred ninety-eight thousand, six hundred seventy-three".

Divisors: 1 3 11 33 37 111 407 1221 3086813 9260439 33954943 101864829 114212081 342636243 1256332891 3768998673