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138356259030 = 2335111931139569
BaseRepresentation
bin1000000011011010101…
…1001111100011010110
3111020010021201012001000
42000312223033203112
54231323200242110
6143320542444130
712665411540403
oct2006653174326
9436107635030
10138356259030
1153749557230
1222993293646
131007c1829c2
1469a71cd2aa
1538eb7821c0
hex2036acf8d6

138356259030 has 512 divisors, whose sum is σ = 441262080000. Its totient is φ = 30475699200.

The previous prime is 138356258969. The next prime is 138356259043. The reversal of 138356259030 is 30952653831.

It is a happy number.

138356259030 is a `hidden beast` number, since 1 + 3 + 8 + 3 + 56 + 2 + 590 + 3 + 0 = 666.

138356259030 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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 255 ways as a sum of consecutive naturals, for example, 243156586 + ... + 243157154.

It is an arithmetic number, because the mean of its divisors is an integer number (861840000).

Almost surely, 2138356259030 is an apocalyptic number.

138356259030 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 138356259030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220631040000).

138356259030 is an abundant number, since it is smaller than the sum of its proper divisors (302905820970).

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

138356259030 is a wasteful number, since it uses less digits than its factorization.

138356259030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 785 (or 779 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

It can be divided in two parts, 138356 and 259030, that added together give a triangular number (397386 = T891).

The spelling of 138356259030 in words is "one hundred thirty-eight billion, three hundred fifty-six million, two hundred fifty-nine thousand, thirty".