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61257241474 = 211213149130681
BaseRepresentation
bin111001000011001101…
…110101001110000010
312212010010022021211021
4321003031311032002
52000423323211344
644050255140054
74266003650512
oct710315651602
9185103267737
1061257241474
1123a85130200
12ba56b1462a
135a13073b60
142d71843842
1518d7ce8b84
hexe43375382

61257241474 has 48 divisors (see below), whose sum is σ = 109498447800. Its totient is φ = 25529644800.

The previous prime is 61257241447. The next prime is 61257241483. The reversal of 61257241474 is 47414275216.

It can be written as a sum of positive squares in 4 ways, for example, as 32691171249 + 28566070225 = 180807^2 + 169015^2 .

It is a Smith number, since the sum of its digits (43) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 61257241474.

It is an unprimeable number.

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, 403414 + ... + 534094.

Almost surely, 261257241474 is an apocalyptic number.

61257241474 is a deficient number, since it is larger than the sum of its proper divisors (48241206326).

61257241474 is a wasteful number, since it uses less digits than its factorization.

61257241474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130867 (or 130856 counting only the distinct ones).

The product of its digits is 376320, while the sum is 43.

The spelling of 61257241474 in words is "sixty-one billion, two hundred fifty-seven million, two hundred forty-one thousand, four hundred seventy-four".

Divisors: 1 2 11 13 22 26 121 143 149 242 286 298 1573 1639 1937 3146 3278 3874 18029 21307 36058 42614 130681 234377 261362 468754 1437491 1698853 2874982 3397706 15812401 18687383 19471469 31624802 37374766 38942938 205561213 214186159 253129097 411122426 428372318 506258194 2356047749 2784420067 4712095498 5568840134 30628620737 61257241474