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39023311332093 = 3112351414112427
BaseRepresentation
bin10001101111101110100101…
…00111000010001011111101
312010011120222122212221202120
420313313102213002023331
520103324220200111333
6214555021200313153
711135225014252014
oct1067672247021375
9163146878787676
1039023311332093
1111485769a02aa0
124462b900127b9
1318a0b61a25b6a
1498ca4a043a7b
1547a144cb1db3
hex237dd29c22fd

39023311332093 has 16 divisors (see below), whose sum is σ = 59229057517056. Its totient is φ = 22622209467440.

The previous prime is 39023311332077. The next prime is 39023311332157.

It is a happy number.

39023311332093 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 39023311332093 - 24 = 39023311332077 is a prime.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39023311332493) 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, 25707055455 + ... + 25707056972.

It is an arithmetic number, because the mean of its divisors is an integer number (3701816094816).

Almost surely, 239023311332093 is an apocalyptic number.

39023311332093 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

39023311332093 is a deficient number, since it is larger than the sum of its proper divisors (20205746184963).

39023311332093 is a wasteful number, since it uses less digits than its factorization.

39023311332093 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51414112464.

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

The spelling of 39023311332093 in words is "thirty-nine trillion, twenty-three billion, three hundred eleven million, three hundred thirty-two thousand, ninety-three".

Divisors: 1 3 11 23 33 69 253 759 51414112427 154242337281 565555236697 1182524585821 1696665710091 3547573757463 13007770444031 39023311332093