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138064260438 = 232135311132419
BaseRepresentation
bin1000000010010101000…
…1010110110101010110
3111012100221021010021100
42000211101112311112
54230223422313223
6143231552130530
712655234564506
oct2004521266526
9435327233240
10138064260438
1153609748385
1222911536a46
1310033826b80
14697a4dda06
1538d0d04043
hex2025456d56

138064260438 has 48 divisors (see below), whose sum is σ = 328228271280. Its totient is φ = 41679772992.

The previous prime is 138064260359. The next prime is 138064260469. The reversal of 138064260438 is 834062460831.

138064260438 is a `hidden beast` number, since 1 + 3 + 8 + 0 + 6 + 4 + 2 + 604 + 38 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 138064260393 and 138064260402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5553808 + ... + 5578611.

It is an arithmetic number, because the mean of its divisors is an integer number (6838088985).

Almost surely, 2138064260438 is an apocalyptic number.

138064260438 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

138064260438 is an abundant number, since it is smaller than the sum of its proper divisors (190164010842).

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

138064260438 is a wasteful number, since it uses less digits than its factorization.

138064260438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11132493 (or 11132490 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 138064260438 in words is "one hundred thirty-eight billion, sixty-four million, two hundred sixty thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 53 78 106 117 159 234 318 477 689 954 1378 2067 4134 6201 12402 11132419 22264838 33397257 66794514 100191771 144721447 200383542 289442894 434164341 590018207 868328682 1180036414 1302493023 1770054621 2604986046 3540109242 5310163863 7670236691 10620327726 15340473382 23010710073 46021420146 69032130219 138064260438