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216312717005 = 57211267108907
BaseRepresentation
bin1100100101110100111…
…1100001111011001101
3202200100012112120101022
43021131033201323031
512021002023421010
6243212300123525
721425300520500
oct3113517417315
9680305476338
10216312717005
1183812986a00
1235b0a8365a5
1317523b06648
14a6807b7137
15596063bd55
hex325d3e1ecd

216312717005 has 72 divisors (see below), whose sum is σ = 336857671584. Its totient is φ = 132830470080.

The previous prime is 216312717001. The next prime is 216312717031. The reversal of 216312717005 is 500717213612.

It is not a de Polignac number, because 216312717005 - 22 = 216312717001 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216312717001) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1931762 + ... + 2040668.

It is an arithmetic number, because the mean of its divisors is an integer number (4678578772).

Almost surely, 2216312717005 is an apocalyptic number.

It is an amenable number.

216312717005 is a deficient number, since it is larger than the sum of its proper divisors (120544954579).

216312717005 is a wasteful number, since it uses less digits than its factorization.

216312717005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109015 (or 108997 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 35.

The spelling of 216312717005 in words is "two hundred sixteen billion, three hundred twelve million, seven hundred seventeen thousand, five".

Divisors: 1 5 7 11 35 49 55 67 77 121 245 335 385 469 539 605 737 847 2345 2695 3283 3685 4235 5159 5929 8107 16415 25795 29645 36113 40535 56749 108907 180565 283745 397243 544535 762349 1197977 1986215 3811745 5336443 5989885 7296769 8385839 13177747 26682215 36483845 41929195 51077383 58700873 65888735 80264459 92244229 255386915 293504365 357541681 401322295 461221145 561851213 645709603 882909049 1787708405 2809256065 3228548015 3932958491 4414545245 6180363343 19664792455 30901816715 43262543401 216312717005