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61945351434 = 23217732773093
BaseRepresentation
bin111001101100001110…
…110000110100001010
312220220002002220020100
4321230032300310022
52003331002221214
644242435510230
74322030541141
oct715416606412
9186802086210
1061945351434
11242a859941a
1210009458376
135ac27ac305
142dd8da4758
15192841d309
hexe6c3b0d0a

61945351434 has 48 divisors (see below), whose sum is σ = 144056687112. Its totient is φ = 19167611904.

The previous prime is 61945351357. The next prime is 61945351439. The reversal of 61945351434 is 43415354916.

61945351434 is a `hidden beast` number, since 61 + 9 + 45 + 3 + 514 + 34 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 61724918025 + 220433409 = 248445^2 + 14847^2 .

It is a super-3 number, since 3×619453514343 (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 61945351434.

It is not an unprimeable number, because it can be changed into a prime (61945351439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1364209 + ... + 1408884.

Almost surely, 261945351434 is an apocalyptic number.

61945351434 is an abundant number, since it is smaller than the sum of its proper divisors (82111335678).

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

61945351434 is a wasteful number, since it uses less digits than its factorization.

61945351434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773191 (or 2773188 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 61945351434 in words is "sixty-one billion, nine hundred forty-five million, three hundred fifty-one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 17 18 34 51 73 102 146 153 219 306 438 657 1241 1314 2482 3723 7446 11169 22338 2773093 5546186 8319279 16638558 24957837 47142581 49915674 94285162 141427743 202435789 282855486 404871578 424283229 607307367 848566458 1214614734 1821922101 3441408413 3643844202 6882816826 10324225239 20648450478 30972675717 61945351434