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216366651132 = 2235310917318041
BaseRepresentation
bin1100100110000001110…
…1010001011011111100
3202200110222000201002120
43021200131101123330
512021104330314012
6243221504122540
721426524122032
oct3114035213374
9680428021076
10216366651132
1183840374465
1235b24906450
131753203b628
14a687a16552
15596524258c
hex32607516fc

216366651132 has 96 divisors (see below), whose sum is σ = 522129706560. Its totient is φ = 69703096320.

The previous prime is 216366651131. The next prime is 216366651133. The reversal of 216366651132 is 231156663612.

216366651132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (216366651131) and next prime (216366651133).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216366651131) 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 31 ways as a sum of consecutive naturals, for example, 11984032 + ... + 12002072.

It is an arithmetic number, because the mean of its divisors is an integer number (5438851110).

Almost surely, 2216366651132 is an apocalyptic number.

It is an amenable number.

216366651132 is an abundant number, since it is smaller than the sum of its proper divisors (305763055428).

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

216366651132 is a wasteful number, since it uses less digits than its factorization.

216366651132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18383 (or 18381 counting only the distinct ones).

The product of its digits is 233280, while the sum is 42.

The spelling of 216366651132 in words is "two hundred sixteen billion, three hundred sixty-six million, six hundred fifty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 53 106 109 159 173 212 218 318 327 346 436 519 636 654 692 1038 1308 2076 5777 9169 11554 17331 18041 18338 18857 23108 27507 34662 36082 36676 37714 54123 55014 56571 69324 72164 75428 108246 110028 113142 216492 226284 956173 999421 1912346 1966469 1998842 2868519 2998263 3121093 3824692 3932938 3997684 5737038 5899407 5996526 6242186 7865876 9363279 11474076 11798814 11993052 12484372 18726558 23597628 37453116 104222857 165417929 208445714 312668571 330835858 340199137 416891428 496253787 625337142 661671716 680398274 992507574 1020597411 1250674284 1360796548 1985015148 2041194822 4082389644 18030554261 36061108522 54091662783 72122217044 108183325566 216366651132