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4000135993 = 73311726429
BaseRepresentation
bin1110111001101101…
…0011101100111001
3101022202221221222221
43232123103230321
531143013322433
61500532444041
7201061411030
oct35633235471
911282857887
104000135993
111772a77417
12937779621
134b996b599
1429d38b717
151862a072d
hexee6d3b39

4000135993 has 8 divisors (see below), whose sum is σ = 4585398080. Its totient is φ = 3418327440.

The previous prime is 4000135963. The next prime is 4000135999. The reversal of 4000135993 is 3995310004.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 4000135993 - 213 = 4000127801 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4000135999) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 860898 + ... + 865531.

It is an arithmetic number, because the mean of its divisors is an integer number (573174760).

Almost surely, 24000135993 is an apocalyptic number.

It is an amenable number.

4000135993 is a deficient number, since it is larger than the sum of its proper divisors (585262087).

4000135993 is a wasteful number, since it uses less digits than its factorization.

4000135993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726767.

The product of its (nonzero) digits is 14580, while the sum is 34.

The square root of 4000135993 is about 63246.6283132943. The cubic root of 4000135993 is about 1587.4190413836.

Adding to 4000135993 its reverse (3995310004), we get a palindrome (7995445997).

The spelling of 4000135993 in words is "four billion, one hundred thirty-five thousand, nine hundred ninety-three".

Divisors: 1 7 331 2317 1726429 12085003 571447999 4000135993