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138327869070 = 2355229331751
BaseRepresentation
bin1000000011010011111…
…0111100011010001110
3111020001022021211100000
42000310332330122032
54231243413302240
6143314050145130
712664615326006
oct2006476743216
9436038254300
10138327869070
1153734526456
12229858821a6
1310076322801
1469a351d006
1538e9025430
hex2034fbc68e

138327869070 has 192 divisors, whose sum is σ = 376233661440. Its totient is φ = 36566640000.

The previous prime is 138327869039. The next prime is 138327869081. The reversal of 138327869070 is 70968723831.

138327869070 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1383278690702 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 138327868998 and 138327869016.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 184191195 + ... + 184191945.

It is an arithmetic number, because the mean of its divisors is an integer number (1959550320).

Almost surely, 2138327869070 is an apocalyptic number.

138327869070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 138327869070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188116830720).

138327869070 is an abundant number, since it is smaller than the sum of its proper divisors (237905792370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

138327869070 is a wasteful number, since it uses less digits than its factorization.

138327869070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1333 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 138327869070 in words is "one hundred thirty-eight billion, three hundred twenty-seven million, eight hundred sixty-nine thousand, seventy".