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216657007050 = 235211307427711
BaseRepresentation
bin1100100111000111000…
…0111001000111001010
3202201020012101022112110
43021301300321013022
512022203143211200
6243310355323150
721436651113531
oct3116160710712
9681205338473
10216657007050
118397a261130
1235ba5bb04b6
131757a240873
14a6b43d9318
155980998b50
hex3271c391ca

216657007050 has 96 divisors (see below), whose sum is σ = 588066361344. Its totient is φ = 52351704000.

The previous prime is 216657007031. The next prime is 216657007081. The reversal of 216657007050 is 50700756612.

216657007050 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 292695 + ... + 720405.

It is an arithmetic number, because the mean of its divisors is an integer number (6125691264).

Almost surely, 2216657007050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216657007050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294033180672).

216657007050 is an abundant number, since it is smaller than the sum of its proper divisors (371409354294).

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

216657007050 is a wasteful number, since it uses less digits than its factorization.

216657007050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428044 (or 428039 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 216657007050 in words is "two hundred sixteen billion, six hundred fifty-seven million, seven thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 150 165 275 307 330 550 614 825 921 1535 1650 1842 3070 3377 4605 6754 7675 9210 10131 15350 16885 20262 23025 33770 46050 50655 84425 101310 168850 253275 427711 506550 855422 1283133 2138555 2566266 4277110 4704821 6415665 9409642 10692775 12831330 14114463 21385550 23524105 28228926 32078325 47048210 64156650 70572315 117620525 131307277 141144630 235241050 262614554 352861575 393921831 656536385 705723150 787843662 1313072770 1444380047 1969609155 2888760094 3282681925 3939218310 4333140141 6565363850 7221900235 8666280282 9848045775 14443800470 19696091550 21665700705 36109501175 43331401410 72219002350 108328503525 216657007050