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216667001216 = 2729335917377
BaseRepresentation
bin1100100111001001011…
…1000001000110000000
3202201020220012001221202
43021302113001012000
512022213223014331
6243311353440332
721440132060201
oct3116227010600
9681226161852
10216667001216
1183984967976
1235ba94100a8
131757c32c883
14a6b587b5a8
1559817beecb
hex32725c1180

216667001216 has 64 divisors (see below), whose sum is σ = 446684112000. Its totient is φ = 104560705536.

The previous prime is 216667001209. The next prime is 216667001237. The reversal of 216667001216 is 612100766612.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 216667001216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12459920 + ... + 12477296.

It is an arithmetic number, because the mean of its divisors is an integer number (6979439250).

Almost surely, 2216667001216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 216667001216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223342056000).

216667001216 is an abundant number, since it is smaller than the sum of its proper divisors (230017110784).

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

216667001216 is a wasteful number, since it uses less digits than its factorization.

216667001216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20779 (or 20767 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 38.

Adding to 216667001216 its reverse (612100766612), we get a palindrome (828767767828).

The spelling of 216667001216 in words is "two hundred sixteen billion, six hundred sixty-seven million, one thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3359 3712 6718 13436 17377 26872 34754 53744 69508 97411 107488 139016 194822 214976 278032 389644 429952 503933 556064 779288 1007866 1112128 1558576 2015732 2224256 3117152 4031464 6234304 8062928 12468608 16125856 32251712 58369343 64503424 116738686 233477372 466954744 933909488 1692710947 1867818976 3385421894 3735637952 6770843788 7471275904 13541687576 27083375152 54166750304 108333500608 216667001216