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138191203395 = 3257438702233
BaseRepresentation
bin1000000010110011010…
…1100110110001000011
3111012200210010111021100
42000230311212301003
54231003422002040
6143252325025443
712661335563550
oct2005465466103
9435623114240
10138191203395
1153674371513
1222947b55283
1310053c1204b
14698d305a27
1538dc02bb30
hex202cd66c43

138191203395 has 24 divisors (see below), whose sum is σ = 273750194016. Its totient is φ = 63173121408.

The previous prime is 138191203363. The next prime is 138191203429. The reversal of 138191203395 is 593302191831.

138191203395 is a `hidden beast` number, since 138 + 1 + 9 + 120 + 3 + 395 = 666.

It is not a de Polignac number, because 138191203395 - 25 = 138191203363 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 138191203395.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219350802 + ... + 219351431.

It is an arithmetic number, because the mean of its divisors is an integer number (11406258084).

Almost surely, 2138191203395 is an apocalyptic number.

138191203395 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

138191203395 is a deficient number, since it is larger than the sum of its proper divisors (135558990621).

138191203395 is a wasteful number, since it uses less digits than its factorization.

138191203395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 438702251 (or 438702248 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 45.

The spelling of 138191203395 in words is "one hundred thirty-eight billion, one hundred ninety-one million, two hundred three thousand, three hundred ninety-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 438702233 1316106699 2193511165 3070915631 3948320097 6580533495 9212746893 15354578155 19741600485 27638240679 46063734465 138191203395