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1066367411968 = 2837121792507
BaseRepresentation
bin11111000010010000111…
…00110110011100000000
310202221110222102021101011
433201020130312130000
5114432410024140333
62133514334250304
7140020402306015
oct17411034663400
93687428367334
101066367411968
113812756708a1
12152804356994
1379733c63101
143988082970c
151cb12ec99cd
hexf848736700

1066367411968 has 72 divisors (see below), whose sum is σ = 2187918178992. Its totient is φ = 518341459968.

The previous prime is 1066367411939. The next prime is 1066367411981. The reversal of 1066367411968 is 8691147636601.

It is a super-2 number, since 2×10663674119682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11481171 + ... + 11573677.

It is an arithmetic number, because the mean of its divisors is an integer number (30387752486).

Almost surely, 21066367411968 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 1066367411968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093959089496).

1066367411968 is an abundant number, since it is smaller than the sum of its proper divisors (1121550767024).

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

1066367411968 is an equidigital number, since it uses as much as digits as its factorization.

1066367411968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93777 (or 93763 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 1066367411968 in words is "one trillion, sixty-six billion, three hundred sixty-seven million, four hundred eleven thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1184 1217 2368 2434 4736 4868 9472 9736 19472 38944 45029 77888 90058 92507 155776 180116 185014 311552 360232 370028 720464 740056 1440928 1480112 2881856 2960224 3422759 5763712 5920448 6845518 11527424 11840896 13691036 23681792 27382072 54764144 109528288 112581019 219056576 225162038 438113152 450324076 876226304 900648152 1801296304 3602592608 4165497703 7205185216 8330995406 14410370432 16661990812 28820740864 33323981624 66647963248 133295926496 266591852992 533183705984 1066367411968