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138570486912 = 2734111393463
BaseRepresentation
bin1000000100001101110…
…0011101010010000000
3111020200012211002110000
42001003130131102000
54232243021040122
6143354114240000
713003622463444
oct2010334352200
9436605732400
10138570486912
1153849477870
1222a32b86000
13100b467c070
1469c7836824
15391049c0ac
hex204371d480

138570486912 has 320 divisors, whose sum is σ = 484483728960. Its totient is φ = 38760560640.

The previous prime is 138570486869. The next prime is 138570486949. The reversal of 138570486912 is 219684075831.

138570486912 is a `hidden beast` number, since 1 + 3 + 8 + 5 + 70 + 486 + 91 + 2 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1435893 + ... + 1529355.

It is an arithmetic number, because the mean of its divisors is an integer number (1514011653).

It is a 1-persistent number, because it is pandigital, but 2⋅138570486912 = 277140973824 is not.

Almost surely, 2138570486912 is an apocalyptic number.

138570486912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138570486912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242241864480).

138570486912 is an abundant number, since it is smaller than the sum of its proper divisors (345913242048).

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

138570486912 is a wasteful number, since it uses less digits than its factorization.

138570486912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93513 (or 93492 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 138570486912 in words is "one hundred thirty-eight billion, five hundred seventy million, four hundred eighty-six thousand, nine hundred twelve".