Search a number
-
+
216888547680 = 2532571937127241
BaseRepresentation
bin1100100111111110010…
…0001001100101100000
3202201211100001210120100
43021333210021211200
512023141432011210
6243345350142400
721445462144230
oct3117744114540
9681740053510
10216888547680
1183a88a27022
123604b651a00
13175b61bc15c
14a6d706bcc0
155995e835c0
hex327f909960

216888547680 has 1152 divisors, whose sum is σ = 925473669120. Its totient is φ = 45148078080.

The previous prime is 216888547669. The next prime is 216888547691. The reversal of 216888547680 is 86745888612.

216888547680 is a `hidden beast` number, since 2 + 1 + 6 + 8 + 8 + 8 + 547 + 6 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (216888547669) and next prime (216888547691).

It is a super-2 number, since 2×2168885476802 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 899952360 + ... + 899952600.

It is an arithmetic number, because the mean of its divisors is an integer number (803362560).

Almost surely, 2216888547680 is an apocalyptic number.

216888547680 is a gapful number since it is divisible by the number (20) 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 216888547680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (462736834560).

216888547680 is an abundant number, since it is smaller than the sum of its proper divisors (708585121440).

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

216888547680 is a wasteful number, since it uses less digits than its factorization.

216888547680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 63.

It can be divided in two parts, 2168885 and 47680, that added together give a triangular number (2216565 = T2105).

The spelling of 216888547680 in words is "two hundred sixteen billion, eight hundred eighty-eight million, five hundred forty-seven thousand, six hundred eighty".