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216949942144 = 2713691188681
BaseRepresentation
bin1100101000001100111…
…0010110011110000000
3202201222121120221221101
43022003032112132000
512023303141122034
6243355422104144
721450136036645
oct3120316263600
9681877527841
10216949942144
118400a64a651
123606811b054
13175c5b36a40
14a70128ddcc
15599b55e514
hex3283396780

216949942144 has 64 divisors (see below), whose sum is σ = 466127560080. Its totient is φ = 99985305600.

The previous prime is 216949942141. The next prime is 216949942159. The reversal of 216949942144 is 441249949612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216949942141) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1055484 + ... + 1244164.

Almost surely, 2216949942144 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 216949942144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233063780040).

216949942144 is an abundant number, since it is smaller than the sum of its proper divisors (249177617936).

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

216949942144 is a wasteful number, since it uses less digits than its factorization.

216949942144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189399 (or 189387 counting only the distinct ones).

The product of its digits is 4478976, while the sum is 55.

The spelling of 216949942144 in words is "two hundred sixteen billion, nine hundred forty-nine million, nine hundred forty-two thousand, one hundred forty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 691 832 1382 1664 2764 5528 8983 11056 17966 22112 35932 44224 71864 88448 143728 188681 287456 377362 574912 754724 1149824 1509448 2452853 3018896 4905706 6037792 9811412 12075584 19622824 24151168 39245648 78491296 130378571 156982592 260757142 313965184 521514284 1043028568 1694921423 2086057136 3389842846 4172114272 6779685692 8344228544 13559371384 16688457088 27118742768 54237485536 108474971072 216949942144