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66235291488 = 253543198091
BaseRepresentation
bin111101101011111011…
…100101011101100000
320022222001101102200000
4331223323211131200
52041122213311423
650232244100000
74533241455042
oct755373453540
9208861342600
1066235291488
11260aa105923
1210a06094600
1363274b8892
1432c4a2da92
151ac9d66843
hexf6bee5760

66235291488 has 144 divisors (see below), whose sum is σ = 199876412736. Its totient is φ = 21564869760.

The previous prime is 66235291471. The next prime is 66235291513. The reversal of 66235291488 is 88419253266.

66235291488 is a `hidden beast` number, since 6 + 6 + 23 + 52 + 91 + 488 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×662352914882 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 235323 + ... + 433413.

It is an arithmetic number, because the mean of its divisors is an integer number (1388030644).

Almost surely, 266235291488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66235291488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99938206368).

66235291488 is an abundant number, since it is smaller than the sum of its proper divisors (133641121248).

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

66235291488 is a wasteful number, since it uses less digits than its factorization.

66235291488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198159 (or 198139 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 54.

The spelling of 66235291488 in words is "sixty-six billion, two hundred thirty-five million, two hundred ninety-one thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 72 81 86 96 108 129 144 162 172 216 243 258 288 324 344 387 432 486 516 648 688 774 864 972 1032 1161 1296 1376 1548 1944 2064 2322 2592 3096 3483 3888 4128 4644 6192 6966 7776 9288 10449 12384 13932 18576 20898 27864 37152 41796 55728 83592 111456 167184 198091 334368 396182 594273 792364 1188546 1584728 1782819 2377092 3169456 3565638 4754184 5348457 6338912 7131276 8517913 9508368 10696914 14262552 16045371 17035826 19016736 21393828 25553739 28525104 32090742 34071652 42787656 48136113 51107478 57050208 64181484 68143304 76661217 85575312 96272226 102214956 128362968 136286608 153322434 171150624 192544452 204429912 229983651 256725936 272573216 306644868 385088904 408859824 459967302 513451872 613289736 689950953 770177808 817719648 919934604 1226579472 1379901906 1540355616 1839869208 2069852859 2453158944 2759803812 3679738416 4139705718 5519607624 7359476832 8279411436 11039215248 16558822872 22078430496 33117645744 66235291488