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1055685771108 = 22348358276737
BaseRepresentation
bin11110101110010111100…
…01100111111101100100
310201220220120000200210000
433113023301213331210
5114244021024133413
62124550401501300
7136161606665643
oct17271361477544
93656816020700
101055685771108
11377794106a31
12150723041830
1378720c93b67
1439149d4b35a
151c6da374073
hexf5cbc67f64

1055685771108 has 120 divisors (see below), whose sum is σ = 2793915365472. Its totient is φ = 347544297216.

The previous prime is 1055685771097. The next prime is 1055685771131. The reversal of 1055685771108 is 8011775865501.

1055685771108 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 68 + 577 + 1 + 1 + 0 + 8 = 666.

It is a super-2 number, since 2×10556857711082 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 156696316 + ... + 156703052.

Almost surely, 21055685771108 is an apocalyptic number.

1055685771108 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1055685771108, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396957682736).

1055685771108 is an abundant number, since it is smaller than the sum of its proper divisors (1738229594364).

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

1055685771108 is a wasteful number, since it uses less digits than its factorization.

1055685771108 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12663 (or 12652 counting only the distinct ones).

The product of its (nonzero) digits is 2352000, while the sum is 54.

The spelling of 1055685771108 in words is "one trillion, fifty-five billion, six hundred eighty-five million, seven hundred seventy-one thousand, one hundred eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 83 108 162 166 249 324 332 498 747 996 1494 2241 2988 4482 5827 6723 6737 8964 11654 13446 13474 17481 20211 23308 26892 26948 34962 40422 52443 60633 69924 80844 104886 121266 157329 181899 209772 242532 314658 363798 471987 483641 545697 559171 629316 727596 943974 967282 1091394 1118342 1450923 1677513 1887948 1934564 2182788 2236684 2901846 3355026 4352769 5032539 5803692 6710052 8705538 10065078 13058307 15097617 17411076 20130156 26116614 30195234 39174921 39256499 45292851 52233228 60390468 78349842 78512998 90585702 117769497 156699684 157025996 181171404 235538994 353308491 471077988 706616982 1059925473 1413233964 2119850946 3179776419 3258289417 4239701892 6359552838 6516578834 9774868251 12719105676 13033157668 19549736502 29324604753 39099473004 58649209506 87973814259 117298419012 175947628518 263921442777 351895257036 527842885554 1055685771108