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216451555047 = 337131097691051
BaseRepresentation
bin1100100110010110000…
…1001001111011100111
3202200200212210021101000
43021211201021323213
512021243044230142
6243234140004343
721431604601230
oct3114541117347
9680625707330
10216451555047
1183884294a92
1235b492306b3
13175467c7b30
14a694dd8087
15596c91414c
hex3265849ee7

216451555047 has 128 divisors (see below), whose sum is σ = 399187712000. Its totient is φ = 112870195200.

The previous prime is 216451555027. The next prime is 216451555051. The reversal of 216451555047 is 740555154612.

216451555047 is a `hidden beast` number, since 2 + 1 + 6 + 4 + 51 + 5 + 550 + 47 = 666.

It is not a de Polignac number, because 216451555047 - 210 = 216451554023 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 216451554993 and 216451555011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216451555007) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 205947672 + ... + 205948722.

It is an arithmetic number, because the mean of its divisors is an integer number (3118654000).

Almost surely, 2216451555047 is an apocalyptic number.

216451555047 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216451555047 is a deficient number, since it is larger than the sum of its proper divisors (182736156953).

216451555047 is a wasteful number, since it uses less digits than its factorization.

216451555047 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1958 (or 1952 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 216451555047 in words is "two hundred sixteen billion, four hundred fifty-one million, five hundred fifty-five thousand, forty-seven".

Divisors: 1 3 7 9 13 21 27 39 63 91 109 117 189 273 327 351 763 769 819 981 1051 1417 2289 2307 2457 2943 3153 4251 5383 6867 6921 7357 9459 9919 9997 12753 13663 16149 20601 20763 22071 28377 29757 29991 38259 40989 48447 66213 69979 83821 89271 89973 95641 114559 122967 145341 198639 209937 251463 267813 269919 286923 343677 368901 586747 629811 754389 801913 808219 860769 1031031 1089673 1489267 1760241 1889433 2263167 2405739 2424657 2582307 3093093 3269019 4467801 5280723 5657533 7217217 7273971 7627711 9807057 10424869 10506847 13403403 15842169 16972599 21651651 21821913 22883133 29421171 31274607 31520541 40210209 50917797 68649399 73547929 88095871 93823821 94561623 152753391 205948197 220643787 264287613 281471463 283684869 616671097 661931361 792862839 1145246323 1850013291 1985794083 2378588517 3435738969 5550039873 8016724261 10307216907 16650119619 24050172783 30921650721 72150518349 216451555047