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138163644 = 22344347211
BaseRepresentation
bin10000011110000…
…11010110111100
3100121222102220000
420033003112330
5240332214034
621413154300
73265241313
oct1017032674
9317872800
10138163644
1170a98433
123a32b990
1322816548
14144c727a
15c1e2599
hex83c35bc

138163644 has 120 divisors (see below), whose sum is σ = 379239168. Its totient is φ = 43817760.

The previous prime is 138163639. The next prime is 138163651. The reversal of 138163644 is 446361831.

It is a happy number.

138163644 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 6 + 3 + 644 = 666.

138163644 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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 138163599 and 138163608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 654699 + ... + 654909.

Almost surely, 2138163644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138163644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189619584).

138163644 is an abundant number, since it is smaller than the sum of its proper divisors (241075524).

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

138163644 is a wasteful number, since it uses less digits than its factorization.

138163644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 306 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 138163644 is about 11754.3032120156. The cubic root of 138163644 is about 516.9691089919.

It can be divided in two parts, 1381 and 63644, that added together give a square (65025 = 2552).

The spelling of 138163644 in words is "one hundred thirty-eight million, one hundred sixty-three thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 43 47 54 81 86 94 108 129 141 162 172 188 211 258 282 324 387 422 423 516 564 633 774 844 846 1161 1266 1269 1548 1692 1899 2021 2322 2532 2538 3483 3798 3807 4042 4644 5076 5697 6063 6966 7596 7614 8084 9073 9917 11394 12126 13932 15228 17091 18146 18189 19834 22788 24252 27219 29751 34182 36292 36378 39668 54438 54567 59502 68364 72756 81657 89253 108876 109134 119004 163314 163701 178506 218268 244971 267759 326628 327402 357012 426431 489942 535518 654804 734913 803277 852862 979884 1071036 1279293 1469826 1606554 1705724 2558586 2939652 3213108 3837879 5117172 7675758 11513637 15351516 23027274 34540911 46054548 69081822 138163644