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667648551141 = 321121365372221
BaseRepresentation
bin10011011011100101111…
…01000110100011100101
32100211022120112111221100
421231302331012203211
541414321012114031
61230414041310313
766143645022435
oct11556275064345
92324276474840
10667648551141
1123816a224300
12a948a195399
134ac60b87cb0
14244588782c5
1512578ce7de6
hex9b72f468e5

667648551141 has 72 divisors (see below), whose sum is σ = 1143326548728. Its totient is φ = 372932524800.

The previous prime is 667648551139. The next prime is 667648551197. The reversal of 667648551141 is 141155846766.

667648551141 is a `hidden beast` number, since 6 + 6 + 7 + 6 + 4 + 85 + 511 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 5947648641 + 661700902500 = 77121^2 + 813450^2 .

It is not a de Polignac number, because 667648551141 - 21 = 667648551139 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (667648551131) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9208411 + ... + 9280631.

It is an arithmetic number, because the mean of its divisors is an integer number (15879535399).

Almost surely, 2667648551141 is an apocalyptic number.

It is an amenable number.

667648551141 is a deficient number, since it is larger than the sum of its proper divisors (475677997587).

667648551141 is a wasteful number, since it uses less digits than its factorization.

667648551141 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72915 (or 72901 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 667648551141 in words is "six hundred sixty-seven billion, six hundred forty-eight million, five hundred fifty-one thousand, one hundred forty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 363 429 653 1089 1287 1573 1959 4719 5877 7183 8489 14157 21549 25467 64647 72221 76401 79013 93379 216663 237039 280137 649989 711117 794431 840411 938873 1027169 2383293 2816619 3081507 7149879 8449857 8738741 9244521 10327603 26216223 30982809 47160313 78648669 92948427 113603633 141480939 340810899 424442817 518763443 613084069 1022432697 1556290329 1839252207 4668870987 5517756621 5706397873 6743924759 17119193619 20231774277 51357580857 60695322831 74183172349 222549517047 667648551141