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66695084928 = 273261215559
BaseRepresentation
bin111110000111010101…
…100011101110000000
320101011002120100200200
4332013111203232000
52043042420204203
650350031045200
74550523603513
oct760725435600
9211132510620
1066695084928
11263157004aa
1210b14070800
13639b8340c4
143329b1ad7a
151b053db9a3
hexf87563b80

66695084928 has 144 divisors (see below), whose sum is σ = 195132436200. Its totient is φ = 21865835520.

The previous prime is 66695084921. The next prime is 66695084933. The reversal of 66695084928 is 82948059666.

66695084928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66695084921) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4278813 + ... + 4294371.

Almost surely, 266695084928 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 66695084928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97566218100).

66695084928 is an abundant number, since it is smaller than the sum of its proper divisors (128437351272).

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

66695084928 is a wasteful number, since it uses less digits than its factorization.

66695084928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15701 (or 15625 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 66695084928 in words is "sixty-six billion, six hundred ninety-five million, eighty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 61 64 72 96 122 128 144 183 192 244 288 366 384 488 549 576 732 976 1098 1152 1464 1952 2196 2928 3721 3904 4392 5856 7442 7808 8784 11163 11712 14884 15559 17568 22326 23424 29768 31118 33489 35136 44652 46677 59536 62236 66978 70272 89304 93354 119072 124472 133956 140031 178608 186708 238144 248944 267912 280062 357216 373416 476288 497888 535824 560124 714432 746832 949099 995776 1071648 1120248 1428864 1493664 1898198 1991552 2143296 2240496 2847297 2987328 3796396 4286592 4480992 5694594 5974656 7592792 8541891 8961984 11389188 15185584 17083782 17923968 22778376 30371168 34167564 45556752 57895039 60742336 68335128 91113504 115790078 121484672 136670256 173685117 182227008 231580156 273340512 347370234 364454016 463160312 521055351 546681024 694740468 926320624 1042110702 1093362048 1389480936 1852641248 2084221404 2778961872 3705282496 4168442808 5557923744 7410564992 8336885616 11115847488 16673771232 22231694976 33347542464 66695084928