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216319741248 = 2631386666563
BaseRepresentation
bin1100100101110110101…
…0010100110101000000
3202200100200202102211110
43021131222110311000
512021010323204443
6243213110443320
721425414314362
oct3113552246500
9680320672743
10216319741248
1183816944366
1235b11063540
13175253c58c0
14a6816c4d32
155961078233
hex325da94d40

216319741248 has 56 divisors (see below), whose sum is σ = 616372603168. Its totient is φ = 66559919616.

The previous prime is 216319741247. The next prime is 216319741277. The reversal of 216319741248 is 842147913612.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 216319741197 and 216319741206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216319741247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 43330786 + ... + 43335777.

It is an arithmetic number, because the mean of its divisors is an integer number (11006653628).

Almost surely, 2216319741248 is an apocalyptic number.

It is an amenable number.

216319741248 is an abundant number, since it is smaller than the sum of its proper divisors (400052861920).

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

216319741248 is a wasteful number, since it uses less digits than its factorization.

216319741248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86666591 (or 86666581 counting only the distinct ones).

The product of its digits is 580608, while the sum is 48.

The spelling of 216319741248 in words is "two hundred sixteen billion, three hundred nineteen million, seven hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 86666563 173333126 259999689 346666252 519999378 693332504 1039998756 1126665319 1386665008 2079997512 2253330638 2773330016 3379995957 4159995024 4506661276 5546660032 6759991914 8319990048 9013322552 13519983828 16639980096 18026645104 27039967656 36053290208 54079935312 72106580416 108159870624 216319741248