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216617788452 = 2231347533891433
BaseRepresentation
bin1100100110111101101…
…1010010010000100100
3202201010110120210201210
43021233123102100210
512022113123212302
6243302434551420
721435663551562
oct3115733222044
9681113523653
10216617788452
118395a10466a
1235b94a38570
131757208b8b0
14a6ad10aa32
15597c2ed66c
hex326f6d2424

216617788452 has 192 divisors, whose sum is σ = 568243952640. Its totient is φ = 63793606656.

The previous prime is 216617788423. The next prime is 216617788483. The reversal of 216617788452 is 254887716612.

It is a junction number, because it is equal to n+sod(n) for n = 216617788392 and 216617788401.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 151163128 + ... + 151164560.

It is an arithmetic number, because the mean of its divisors is an integer number (2959603920).

Almost surely, 2216617788452 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 216617788452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284121976320).

216617788452 is an abundant number, since it is smaller than the sum of its proper divisors (351626164188).

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

216617788452 is a wasteful number, since it uses less digits than its factorization.

216617788452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942 (or 1940 counting only the distinct ones).

The product of its digits is 9031680, while the sum is 57.

The spelling of 216617788452 in words is "two hundred sixteen billion, six hundred seventeen million, seven hundred eighty-eight thousand, four hundred fifty-two".