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3585142093 = 134737315731
BaseRepresentation
bin1101010110110000…
…1110110101001101
3100020212002002101111
43111230032311031
524320244021333
61351430012021
7154562130211
oct32554166515
910225062344
103585142093
11157a7a0355
128407a7011
134519aa370
14260202941
1515eb294cd
hexd5b0ed4d

3585142093 has 16 divisors (see below), whose sum is σ = 3953892096. Its totient is φ = 3230061120.

The previous prime is 3585142079. The next prime is 3585142103. The reversal of 3585142093 is 3902415853.

It is a de Polignac number, because none of the positive numbers 2k-3585142093 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3585142003) 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, 220038 + ... + 235768.

It is an arithmetic number, because the mean of its divisors is an integer number (247118256).

Almost surely, 23585142093 is an apocalyptic number.

It is an amenable number.

3585142093 is a deficient number, since it is larger than the sum of its proper divisors (368750003).

3585142093 is a wasteful number, since it uses less digits than its factorization.

3585142093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16164.

The product of its (nonzero) digits is 129600, while the sum is 40.

The square root of 3585142093 is about 59876.0560908950. The cubic root of 3585142093 is about 1530.5074844090.

The spelling of 3585142093 in words is "three billion, five hundred eighty-five million, one hundred forty-two thousand, ninety-three".

Divisors: 1 13 47 373 611 4849 15731 17531 204503 227903 739357 5867663 9611641 76279619 275780161 3585142093