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218013488712 = 23341324125409
BaseRepresentation
bin1100101100001010011…
…1011101011001001000
3202211201201211201120000
43023002213131121020
512032442423114322
6244053133403000
721515402035545
oct3130247353110
9684651751500
10218013488712
1184505a26958
1236304339460
1317735293236
14a7a261dbcc
155a0eae43ac
hex32c29dd648

218013488712 has 80 divisors (see below), whose sum is σ = 610709784300. Its totient is φ = 72662814720.

The previous prime is 218013488701. The next prime is 218013488741. The reversal of 218013488712 is 217884310812.

218013488712 is a `hidden beast` number, since 21 + 80 + 1 + 3 + 488 + 71 + 2 = 666.

218013488712 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 215283008196 + 2730480516 = 463986^2 + 52254^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 8567464 + ... + 8592872.

Almost surely, 2218013488712 is an apocalyptic number.

It is an amenable number.

218013488712 is an abundant number, since it is smaller than the sum of its proper divisors (392696295588).

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

218013488712 is a wasteful number, since it uses less digits than its factorization.

218013488712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38668 (or 38655 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The spelling of 218013488712 in words is "two hundred eighteen billion, thirteen million, four hundred eighty-eight thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 13241 25409 26482 39723 50818 52964 76227 79446 101636 105928 119169 152454 158892 203272 228681 238338 304908 317784 357507 457362 476676 609816 686043 715014 914724 953352 1072521 1372086 1430028 1829448 2058129 2145042 2744172 2860056 4116258 4290084 5488344 8232516 8580168 16465032 336440569 672881138 1009321707 1345762276 2018643414 2691524552 3027965121 4037286828 6055930242 8074573656 9083895363 12111860484 18167790726 24223720968 27251686089 36335581452 54503372178 72671162904 109006744356 218013488712