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138078414687 = 3673971730371
BaseRepresentation
bin1000000010011000011…
…1010110011101011111
3111012101220220020020210
42000212013112131133
54230241033232222
6143233215343503
712655466105523
oct2004607263537
9435356806223
10138078414687
1153616735704
1222916221b93
1310036741575
14697c345d83
1538d219cd0c
hex20261d675f

138078414687 has 16 divisors (see below), whose sum is σ = 187323151232. Its totient is φ = 90449900640.

The previous prime is 138078414653. The next prime is 138078414703. The reversal of 138078414687 is 786414870831.

138078414687 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 138078414687 - 215 = 138078381919 is a prime.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138078414787) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 785389 + ... + 944982.

It is an arithmetic number, because the mean of its divisors is an integer number (11707696952).

Almost surely, 2138078414687 is an apocalyptic number.

138078414687 is a deficient number, since it is larger than the sum of its proper divisors (49244736545).

138078414687 is a wasteful number, since it uses less digits than its factorization.

138078414687 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730838.

The product of its (nonzero) digits is 7225344, while the sum is 57.

The spelling of 138078414687 in words is "one hundred thirty-eight billion, seventy-eight million, four hundred fourteen thousand, six hundred eighty-seven".

Divisors: 1 3 67 201 397 1191 26599 79797 1730371 5191113 115934857 347804571 686957287 2060871861 46026138229 138078414687