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1055582667117 = 321143247963981
BaseRepresentation
bin11110101110001011010…
…00010100000101101101
310201220122101000110200200
433113011220110011231
5114243313130321432
62124532235544113
7136156215425136
oct17270550240555
93656571013620
101055582667117
11377740995420
121506b45bb039
1378705804594
143913a38cc8d
151c6d12a9a7c
hexf5c5a1416d

1055582667117 has 24 divisors (see below), whose sum is σ = 1702024772448. Its totient is φ = 624869229600.

The previous prime is 1055582667091. The next prime is 1055582667137. The reversal of 1055582667117 is 7117662855501.

1055582667117 is a `hidden beast` number, since 1 + 0 + 5 + 558 + 2 + 6 + 6 + 71 + 17 = 666.

1055582667117 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 1055582667117 - 27 = 1055582666989 is a prime.

It is a super-2 number, since 2×10555826671172 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1055582667137) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 123977734 + ... + 123986247.

It is an arithmetic number, because the mean of its divisors is an integer number (70917698852).

Almost surely, 21055582667117 is an apocalyptic number.

It is an amenable number.

1055582667117 is a deficient number, since it is larger than the sum of its proper divisors (646442105331).

1055582667117 is a wasteful number, since it uses less digits than its factorization.

1055582667117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247964041 (or 247964038 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 54.

The spelling of 1055582667117 in words is "one trillion, fifty-five billion, five hundred eighty-two million, six hundred sixty-seven thousand, one hundred seventeen".

Divisors: 1 3 9 11 33 43 99 129 387 473 1419 4257 247963981 743891943 2231675829 2727603791 8182811373 10662451183 24548434119 31987353549 95962060647 117286963013 351860889039 1055582667117