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72055355355027 = 3311243512918867
BaseRepresentation
bin10000011000100010110001…
…110111000010111110010011
3100110010102110121100000102000
4100120202301313002332103
533421023331432330102
6413125435005525043
721114553606630602
oct2030426167027623
9313112417300360
1072055355355027
1120a60560689500
1280b8988873783
133128a38679105
1413b16d7da9a39
1584e4d25b501c
hex4188b1dc2f93

72055355355027 has 48 divisors (see below), whose sum is σ = 120064048621440. Its totient is φ = 42654332896560.

The previous prime is 72055355355023. The next prime is 72055355355041.

72055355355027 is a `hidden beast` number, since 7 + 2 + 0 + 5 + 5 + 35 + 53 + 550 + 2 + 7 = 666.

72055355355027 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 72055355355027 - 22 = 72055355355023 is a prime.

It is not an unprimeable number, because it can be changed into a prime (72055355355023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 256318953 + ... + 256599914.

It is an arithmetic number, because the mean of its divisors is an integer number (2501334346280).

Almost surely, 272055355355027 is an apocalyptic number.

72055355355027 is a deficient number, since it is larger than the sum of its proper divisors (48008693266413).

72055355355027 is a wasteful number, since it uses less digits than its factorization.

72055355355027 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512918941 (or 512918924 counting only the distinct ones).

The product of its (nonzero) digits is 27562500, while the sum is 54.

The spelling of 72055355355027 in words is "seventy-two trillion, fifty-five billion, three hundred fifty-five million, three hundred fifty-five thousand, twenty-seven".

Divisors: 1 3 9 11 27 33 43 99 121 129 297 363 387 473 1089 1161 1419 3267 4257 5203 12771 15609 46827 140481 512918867 1538756601 4616269803 5642107537 13848809409 16926322611 22055511281 50778967833 62063182907 66166533843 152336903499 186189548721 198499601529 242610624091 558568646163 595498804587 727831872273 1675705938489 2183495616819 2668716865001 6550486850457 8006150595003 24018451785009 72055355355027