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2995003061136 = 2432109433440677
BaseRepresentation
bin101011100101010100000…
…101111111001110010000
3101121022121220122110222100
4223211110011333032100
5343032231240424021
610211515125440400
7426244652656152
oct53452405771620
911538556573870
102995003061136
11a551a016a639
12404550570100
13189573503748
14a4d5d3d0ad2
1552d90be4626
hex2b95417f390

2995003061136 has 120 divisors (see below), whose sum is σ = 8478300991160. Its totient is φ = 986888613888.

The previous prime is 2995003061119. The next prime is 2995003061137. The reversal of 2995003061136 is 6311603005992.

2995003061136 is a `hidden beast` number, since 2 + 9 + 9 + 500 + 3 + 0 + 6 + 1 + 136 = 666.

2995003061136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 175021742736 + 2819981318400 = 418356^2 + 1679280^2 .

It is a super-2 number, since 2×29950030611362 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2995003061091 and 2995003061100.

It is not an unprimeable number, because it can be changed into a prime (2995003061137) 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, 6576030 + ... + 7016706.

Almost surely, 22995003061136 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 2995003061136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4239150495580).

2995003061136 is an abundant number, since it is smaller than the sum of its proper divisors (5483297930024).

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

2995003061136 is a wasteful number, since it uses less digits than its factorization.

2995003061136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441233 (or 441224 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 2995003061136 in words is "two trillion, nine hundred ninety-five billion, three million, sixty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 109 144 218 327 433 436 654 866 872 981 1299 1308 1732 1744 1962 2598 2616 3464 3897 3924 5196 5232 6928 7794 7848 10392 15588 15696 20784 31176 47197 62352 94394 141591 188788 283182 377576 424773 440677 566364 755152 849546 881354 1132728 1322031 1699092 1762708 2265456 2644062 3398184 3525416 3966093 5288124 6796368 7050832 7932186 10576248 15864372 21152496 31728744 48033793 63457488 96067586 144101379 190813141 192135172 288202758 381626282 384270344 432304137 572439423 576405516 763252564 768540688 864608274 1144878846 1152811032 1526505128 1717318269 1729216548 2289757692 2305622064 3053010256 3434636538 3458433096 4579515384 6869273076 6916866192 9159030768 13738546152 20798632369 27477092304 41597264738 62395897107 83194529476 124791794214 166389058952 187187691321 249583588428 332778117904 374375382642 499167176856 748750765284 998334353712 1497501530568 2995003061136