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1010774841048 = 233375312613243
BaseRepresentation
bin11101011010101101110…
…00000001011011011000
310120121222122012001201000
432231112320001123120
5113030031324403143
62052202112425000
7133011641250540
oct16552670013330
93517878161630
101010774841048
1135a738057505
12143a8a548160
137441466a52b
1436cc9466320
151b45c67bbd3
hexeb56e016d8

1010774841048 has 128 divisors (see below), whose sum is σ = 3269352844800. Its totient is φ = 283343868288.

The previous prime is 1010774841031. The next prime is 1010774841049. The reversal of 1010774841048 is 8401484770101.

1010774841048 is a `hidden beast` number, since 10 + 107 + 7 + 484 + 10 + 48 = 666.

1010774841048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1010774840994 and 1010774841012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010774841049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6226486 + ... + 6386757.

It is an arithmetic number, because the mean of its divisors is an integer number (25541819100).

Almost surely, 21010774841048 is an apocalyptic number.

1010774841048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1010774841048 is an abundant number, since it is smaller than the sum of its proper divisors (2258578003752).

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

1010774841048 is a wasteful number, since it uses less digits than its factorization.

1010774841048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12613318 (or 12613308 counting only the distinct ones).

The product of its (nonzero) digits is 200704, while the sum is 45.

The spelling of 1010774841048 in words is "one trillion, ten billion, seven hundred seventy-four million, eight hundred forty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 53 54 56 63 72 84 106 108 126 159 168 189 212 216 252 318 371 378 424 477 504 636 742 756 954 1113 1272 1431 1484 1512 1908 2226 2862 2968 3339 3816 4452 5724 6678 8904 10017 11448 13356 20034 26712 40068 80136 12613243 25226486 37839729 50452972 75679458 88292701 100905944 113519187 151358916 176585402 227038374 264878103 302717832 340557561 353170804 454076748 529756206 668501879 681115122 706341608 794634309 908153496 1059512412 1337003758 1362230244 1589268618 2005505637 2119024824 2383902927 2674007516 2724460488 3178537236 4011011274 4679513153 4767805854 5348015032 6016516911 6357074472 8022022548 9359026306 9535611708 12033033822 14038539459 16044045096 18049550733 18718052612 19071223416 24066067644 28077078918 36099101466 37436105224 42115618377 48132135288 56154157836 72198202932 84231236754 112308315672 126346855131 144396405864 168462473508 252693710262 336924947016 505387420524 1010774841048