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1050045506136 = 2332111823727271
BaseRepresentation
bin11110100011110111001…
…01101110001001011000
310201101100110212112210100
433101323211232021120
5114200443122144021
62122214555215400
7135602051351514
oct17217345561130
93641313775710
101050045506136
1137535a34a420
1214b60a147560
13780325ac373
1438b72c21144
151c4aa0e9626
hexf47b96e258

1050045506136 has 96 divisors (see below), whose sum is σ = 3104113259520. Its totient is φ = 318020625600.

The previous prime is 1050045506113. The next prime is 1050045506149. The reversal of 1050045506136 is 6316055400501.

1050045506136 is a `hidden beast` number, since 1 + 0 + 500 + 45 + 50 + 61 + 3 + 6 = 666.

It is a super-2 number, since 2×10500455061362 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1050045506136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1080181 + ... + 1807451.

It is an arithmetic number, because the mean of its divisors is an integer number (32334513120).

Almost surely, 21050045506136 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 1050045506136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1552056629760).

1050045506136 is an abundant number, since it is smaller than the sum of its proper divisors (2054067753384).

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

1050045506136 is a wasteful number, since it uses less digits than its factorization.

1050045506136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729117 (or 729110 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 1050045506136 in words is "one trillion, fifty billion, forty-five million, five hundred six thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 1823 3646 5469 7292 10938 14584 16407 20053 21876 32814 40106 43752 60159 65628 80212 120318 131256 160424 180477 240636 360954 481272 721908 727271 1443816 1454542 2181813 2909084 4363626 5818168 6545439 7999981 8727252 13090878 15999962 17454504 23999943 26181756 31999924 47999886 52363512 63999848 71999829 95999772 143999658 191999544 287999316 575998632 1325815033 2651630066 3977445099 5303260132 7954890198 10606520264 11932335297 14583965363 15909780396 23864670594 29167930726 31819560792 43751896089 47729341188 58335861452 87503792178 95458682376 116671722904 131255688267 175007584356 262511376534 350015168712 525022753068 1050045506136