Search a number
-
+
10775057121776 = 2437101917861737
BaseRepresentation
bin1001110011001100001101…
…1100111100000111110000
31102011002022020221111100102
42130303003130330013300
52403014304110344101
634525554245011532
72161320650233613
oct234630334740760
942132266844312
1010775057121776
113484748927172
1212603409b3ba8
1360211167b54c
1429373093a17a
1513a43d59786b
hex9ccc373c1f0

10775057121776 has 40 divisors (see below), whose sum is σ = 21461949911280. Its totient is φ = 5236775207424.

The previous prime is 10775057121761. The next prime is 10775057121781. The reversal of 10775057121776 is 67712175057701.

It is a happy number.

10775057121776 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×107750571217762 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8327621 + ... + 9534116.

It is an arithmetic number, because the mean of its divisors is an integer number (536548747782).

Almost surely, 210775057121776 is an apocalyptic number.

10775057121776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10775057121776 is a deficient number, since it is larger than the sum of its proper divisors (10686892789504).

10775057121776 is a wasteful number, since it uses less digits than its factorization.

10775057121776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17862801 (or 17862795 counting only the distinct ones).

The product of its (nonzero) digits is 5042100, while the sum is 56.

The spelling of 10775057121776 in words is "ten trillion, seven hundred seventy-five billion, fifty-seven million, one hundred twenty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 37 74 148 296 592 1019 2038 4076 8152 16304 37703 75406 150812 301624 603248 17861737 35723474 71446948 142893896 285787792 660884269 1321768538 2643537076 5287074152 10574148304 18201110003 36402220006 72804440012 145608880024 291217760048 673441070111 1346882140222 2693764280444 5387528560888 10775057121776