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216755032344 = 233197373312281
BaseRepresentation
bin1100100111011110011…
…0110101000100011000
3202201111000211111221220
43021313212311010120
512022403242013334
6243324220332040
721442251242544
oct3116746650430
9681430744856
10216755032344
1183a1a623a74
12360129a4020
13175946425b6
14a6c3434a24
1559893ad449
hex32779b5118

216755032344 has 64 divisors (see below), whose sum is σ = 544828537440. Its totient is φ = 71859809280.

The previous prime is 216755032331. The next prime is 216755032349. The reversal of 216755032344 is 443230557612.

216755032344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2167550323442 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216755032296 and 216755032305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216755032349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17643484 + ... + 17655764.

Almost surely, 2216755032344 is an apocalyptic number.

216755032344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

216755032344 is an abundant number, since it is smaller than the sum of its proper divisors (328073505096).

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

216755032344 is a wasteful number, since it uses less digits than its factorization.

216755032344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16220 (or 16216 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 42.

Adding to 216755032344 its reverse (443230557612), we get a palindrome (659985589956).

The spelling of 216755032344 in words is "two hundred sixteen billion, seven hundred fifty-five million, thirty-two thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 24 197 394 591 788 1182 1576 2364 3733 4728 7466 11199 12281 14932 22398 24562 29864 36843 44796 49124 73686 89592 98248 147372 294744 735401 1470802 2206203 2419357 2941604 4412406 4838714 5883208 7258071 8824812 9677428 14516142 17649624 19354856 29032284 45844973 58064568 91689946 137534919 183379892 275069838 366759784 550139676 1100279352 9031459681 18062919362 27094379043 36125838724 54188758086 72251677448 108377516172 216755032344