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138823205793 = 31726910119047
BaseRepresentation
bin1000000101001010000…
…0100000001110100001
3111021022211100112120120
42001102200200032201
54233302220041133
6143435143030453
713013111531256
oct2012240401641
9437284315516
10138823205793
1153969098248
1222aa373b429
1310124b3416c
146a0d21d42d
15392776bab3
hex20528203a1

138823205793 has 16 divisors (see below), whose sum is σ = 196714293120. Its totient is φ = 86780938496.

The previous prime is 138823205791. The next prime is 138823205803. The reversal of 138823205793 is 397502328831.

It is a happy number.

It is not a de Polignac number, because 138823205793 - 21 = 138823205791 is a prime.

It is a Smith number, since the sum of its digits (51) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (138823205791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5045805 + ... + 5073242.

It is an arithmetic number, because the mean of its divisors is an integer number (12294643320).

Almost surely, 2138823205793 is an apocalyptic number.

It is an amenable number.

138823205793 is a deficient number, since it is larger than the sum of its proper divisors (57891087327).

138823205793 is a wasteful number, since it uses less digits than its factorization.

138823205793 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10119336.

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 138823205793 in words is "one hundred thirty-eight billion, eight hundred twenty-three million, two hundred five thousand, seven hundred ninety-three".

Divisors: 1 3 17 51 269 807 4573 13719 10119047 30357141 172023799 516071397 2722023643 8166070929 46274401931 138823205793