Search a number
-
+
165998914517856 = 253721923976731237
BaseRepresentation
bin100101101111100110100010…
…010101010011101101100000
3210202202100012202201101120210
4211233212202111103231200
5133224211234104032411
61345014503142334120
746652011564303200
oct4557464225235540
9722670182641523
10165998914517856
114898a820731952
121674b85072a340
1371818271b75a4
142cdc5670d8400
15142d02cd90ca6
hex96f9a2553b60

165998914517856 has 1152 divisors, whose sum is σ = 563797636254720. Its totient is φ = 42437855674368.

The previous prime is 165998914517851. The next prime is 165998914517867. The reversal of 165998914517856 is 658715419899561.

165998914517856 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1659989145178562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165998914517851) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 134194756470 + ... + 134194757706.

It is an arithmetic number, because the mean of its divisors is an integer number (489407670360).

Almost surely, 2165998914517856 is an apocalyptic number.

165998914517856 is a gapful number since it is divisible by the number (16) 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 165998914517856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281898818127360).

165998914517856 is an abundant number, since it is smaller than the sum of its proper divisors (397798721736864).

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

165998914517856 is a wasteful number, since it uses less digits than its factorization.

165998914517856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2076 (or 2061 counting only the distinct ones).

The product of its digits is 5878656000, while the sum is 84.

The spelling of 165998914517856 in words is "one hundred sixty-five trillion, nine hundred ninety-eight billion, nine hundred fourteen million, five hundred seventeen thousand, eight hundred fifty-six".