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138499245360 = 24335723398261
BaseRepresentation
bin1000000011111100110…
…0101100010100110000
3111020111020202122102000
42000333030230110300
54232121301322420
6143343051254000
713002066106230
oct2007714542460
9436436678360
10138499245360
1153812238a53
1222a1314a300
13100a29973b8
1469bc1adcc0
1539090c8690
hex203f32c530

138499245360 has 320 divisors, whose sum is σ = 568909301760. Its totient is φ = 30280504320.

The previous prime is 138499245323. The next prime is 138499245371. The reversal of 138499245360 is 63542994831.

138499245360 is a `hidden beast` number, since 1 + 3 + 8 + 49 + 92 + 453 + 60 = 666.

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 = 138499245297 and 138499245306.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 148630 + ... + 546890.

It is an arithmetic number, because the mean of its divisors is an integer number (1777841568).

Almost surely, 2138499245360 is an apocalyptic number.

138499245360 is a gapful number since it is divisible by the number (10) 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 138499245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284454650880).

138499245360 is an abundant number, since it is smaller than the sum of its proper divisors (430410056400).

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

138499245360 is a wasteful number, since it uses less digits than its factorization.

138499245360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398313 (or 398301 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 138499245360 in words is "one hundred thirty-eight billion, four hundred ninety-nine million, two hundred forty-five thousand, three hundred sixty".