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216821128612 = 2211171915256201
BaseRepresentation
bin1100100111101110001…
…0111101110110100100
3202201122122012112222211
43021323202331312210
512023022202103422
6243334541133204
721444013120204
oct3117342756644
9681578175884
10216821128612
1183a53969090
1236030b5a204
13175a524530a
14a6cc11c404
1559900b7577
hex327b8bdda4

216821128612 has 48 divisors (see below), whose sum is σ = 461347548480. Its totient is φ = 87875712000.

The previous prime is 216821128609. The next prime is 216821128649.

216821128612 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2168211286122 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7613889 + ... + 7642312.

It is an arithmetic number, because the mean of its divisors is an integer number (9611407260).

Almost surely, 2216821128612 is an apocalyptic number.

216821128612 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

216821128612 is an abundant number, since it is smaller than the sum of its proper divisors (244526419868).

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

216821128612 is a wasteful number, since it uses less digits than its factorization.

216821128612 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15256252 (or 15256250 counting only the distinct ones).

The product of its digits is 36864, while the sum is 40.

The spelling of 216821128612 in words is "two hundred sixteen billion, eight hundred twenty-one million, one hundred twenty-eight thousand, six hundred twelve".

Divisors: 1 2 4 11 17 19 22 34 38 44 68 76 187 209 323 374 418 646 748 836 1292 3553 7106 14212 15256201 30512402 61024804 167818211 259355417 289867819 335636422 518710834 579735638 671272844 1037421668 1159471276 2852909587 3188546009 4927752923 5705819174 6377092018 9855505846 11411638348 12754184036 19711011692 54205282153 108410564306 216821128612