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3903663093 = 311976912109
BaseRepresentation
bin1110100010101101…
…0010101111110101
3101002001102122001120
43220223102233311
530443314204333
61443205014153
7165510405651
oct35053225765
911061378046
103903663093
111723574950
1290b3b4359
134a2991325
14290637a61
1517ca95db3
hexe8ad2bf5

3903663093 has 16 divisors (see below), whose sum is σ = 5679105600. Its totient is φ = 2365418880.

The previous prime is 3903663089. The next prime is 3903663121.

3903663093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3903663093 - 22 = 3903663089 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3903663493) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 316323 + ... + 328431.

It is an arithmetic number, because the mean of its divisors is an integer number (354944100).

Almost surely, 23903663093 is an apocalyptic number.

3903663093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

3903663093 is a deficient number, since it is larger than the sum of its proper divisors (1775442507).

3903663093 is a wasteful number, since it uses less digits than its factorization.

3903663093 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21892.

The product of its (nonzero) digits is 236196, while the sum is 42.

The square root of 3903663093 is about 62479.3013165160. The cubic root of 3903663093 is about 1574.5535770794.

The spelling of 3903663093 in words is "three billion, nine hundred three million, six hundred sixty-three thousand, ninety-three".

Divisors: 1 3 11 33 9769 12109 29307 36327 107459 133199 322377 399597 118292821 354878463 1301221031 3903663093