Search a number
-
+
2188455066096 = 24313191139071801
BaseRepresentation
bin11111110110001010000…
…101100011100111110000
321202012210012022010102220
4133312022011203213300
5241323423444103341
64353210135041040
7314052646064445
oct37661205434760
97665705263386
102188455066096
117741339172a2
122b4179210180
1312b4a7aa05c0
1477cc956d9cc
153bdd7b20a66
hex1fd8a1639f0

2188455066096 has 320 divisors, whose sum is σ = 6476273825280. Its totient is φ = 631237017600.

The previous prime is 2188455066079. The next prime is 2188455066097. The reversal of 2188455066096 is 6906605548812.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2188455066097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1215132396 + ... + 1215134196.

It is an arithmetic number, because the mean of its divisors is an integer number (20238355704).

Almost surely, 22188455066096 is an apocalyptic number.

2188455066096 is a gapful number since it is divisible by the number (26) 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 2188455066096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3238136912640).

2188455066096 is an abundant number, since it is smaller than the sum of its proper divisors (4287818759184).

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

2188455066096 is a wasteful number, since it uses less digits than its factorization.

2188455066096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2864 (or 2858 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 60.

The spelling of 2188455066096 in words is "two trillion, one hundred eighty-eight billion, four hundred fifty-five million, sixty-six thousand, ninety-six".