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216912503907 = 3511615412459
BaseRepresentation
bin1100101000000011111…
…1100010010001100011
3202201220000010220100000
43022000333202101203
512023214100111112
6243352003431043
721446202601401
oct3120077422143
9681800126300
10216912503907
1183aa04a9760
1236057685483
13175bb159238
14a6da306471
1559981167dc
hex3280fe2463

216912503907 has 96 divisors (see below), whose sum is σ = 361084389120. Its totient is φ = 129015504000.

The previous prime is 216912503881. The next prime is 216912503947. The reversal of 216912503907 is 709305219612.

It is a happy number.

216912503907 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 1 + 250 + 390 + 7 = 666.

It is a de Polignac number, because none of the positive numbers 2k-216912503907 is a prime.

It is not an unprimeable number, because it can be changed into a prime (216912503947) 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 95 ways as a sum of consecutive naturals, for example, 88210444 + ... + 88212902.

It is an arithmetic number, because the mean of its divisors is an integer number (3761295720).

Almost surely, 2216912503907 is an apocalyptic number.

216912503907 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216912503907 is a deficient number, since it is larger than the sum of its proper divisors (144171885213).

216912503907 is a wasteful number, since it uses less digits than its factorization.

216912503907 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3087 (or 3075 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 216912503907 in words is "two hundred sixteen billion, nine hundred twelve million, five hundred three thousand, nine hundred seven".

Divisors: 1 3 9 11 27 33 61 81 99 183 243 297 541 549 671 891 1623 1647 2013 2459 2673 4869 4941 5951 6039 7377 14607 14823 17853 18117 22131 27049 33001 43821 53559 54351 66393 81147 99003 131463 149999 160677 163053 199179 243441 297009 363011 449997 482031 597537 730323 891027 1089033 1330319 1349991 1446093 1649989 2190969 2673081 3267099 3990957 4049973 4949967 6572907 8019243 9801297 11972871 12149919 14633509 14849901 29403891 35918613 36449757 43900527 44549703 81149459 88211673 107755839 131701581 133649109 243448377 323267517 395104743 400947327 730345131 892644049 1185314229 2191035393 2677932147 3555942687 6573106179 8033796441 19719318537 24101389323 72304167969 216912503907