Search a number
-
+
66843379712 = 2112921972
BaseRepresentation
bin111110010000001011…
…010000100000000000
320101112102121111220002
4332100023100200000
52043343401122322
650412445335132
74554304232024
oct762013204000
9211472544802
1066843379712
112639138857a
1210b558674a8
1363c3486ab5
1433416c0384
151b13430c92
hexf902d0800

66843379712 has 108 divisors (see below), whose sum is σ = 139128022215. Its totient is φ = 32105414656.

The previous prime is 66843379711. The next prime is 66843379787. The reversal of 66843379712 is 21797334866.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 5 ways, for example, as 65913373696 + 930006016 = 256736^2 + 30496^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=182816.

It is a super-2 number, since 2×668433797122 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66843379711) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 339306398 + ... + 339306594.

Almost surely, 266843379712 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 66843379712

66843379712 is an abundant number, since it is smaller than the sum of its proper divisors (72284642503).

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

66843379712 is an frugal number, since it uses more digits than its factorization.

66843379712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 228 counting only the distinct ones).

The product of its digits is 9144576, while the sum is 56.

The spelling of 66843379712 in words is "sixty-six billion, eight hundred forty-three million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 197 232 256 394 464 512 788 841 928 1024 1576 1682 1856 2048 3152 3364 3712 5713 6304 6728 7424 11426 12608 13456 14848 22852 25216 26912 29696 38809 45704 50432 53824 59392 77618 91408 100864 107648 155236 165677 182816 201728 215296 310472 331354 365632 403456 430592 620944 662708 731264 861184 1125461 1241888 1325416 1462528 1722368 2250922 2483776 2650832 2925056 4501844 4967552 5301664 5850112 9003688 9935104 10603328 11700224 18007376 19870208 21206656 32638369 36014752 39740416 42413312 65276738 72029504 79480832 84826624 130553476 144059008 169653248 261106952 288118016 339306496 522213904 576236032 1044427808 1152472064 2088855616 2304944128 4177711232 8355422464 16710844928 33421689856 66843379712