Search a number
-
+
138923289560 = 235112163293601
BaseRepresentation
bin1000000101100001111…
…0010010101111011000
3111021120210200022200202
42001120132102233120
54234003330231220
6143453120121332
713015435322546
oct2013036225730
9437523608622
10138923289560
1153a0a636700
1222b11166248
131013c7a6b23
146a1c632d96
15393143b275
hex2058792bd8

138923289560 has 192 divisors, whose sum is σ = 347441603040. Its totient is φ = 49953024000.

The previous prime is 138923289541. The next prime is 138923289581. The reversal of 138923289560 is 65982329831.

It is a junction number, because it is equal to n+sod(n) for n = 138923289496 and 138923289505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 231153260 + ... + 231153860.

Almost surely, 2138923289560 is an apocalyptic number.

138923289560 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 138923289560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173720801520).

138923289560 is an abundant number, since it is smaller than the sum of its proper divisors (208518313480).

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

138923289560 is a wasteful number, since it uses less digits than its factorization.

138923289560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1075 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 56.

The spelling of 138923289560 in words is "one hundred thirty-eight billion, nine hundred twenty-three million, two hundred eighty-nine thousand, five hundred sixty".