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61881420249 = 32111367457253
BaseRepresentation
bin111001101000011010…
…111000100111011001
312220201121210212010200
4321220122320213121
52003213120421444
644232233332413
74320323251635
oct715032704731
9186647725120
1061881420249
11242754a2a30
12bbabb67109
135ab2486bcc
142dd06c1dc5
1519229e0969
hexe686b89d9

61881420249 has 24 divisors (see below), whose sum is σ = 97581661632. Its totient is φ = 37476373920.

The previous prime is 61881420247. The next prime is 61881420343. The reversal of 61881420249 is 94202418816.

61881420249 is a `hidden beast` number, since 6 + 188 + 1 + 420 + 2 + 49 = 666.

It is not a de Polignac number, because 61881420249 - 21 = 61881420247 is a prime.

It is not an unprimeable number, because it can be changed into a prime (61881420247) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 93294 + ... + 363959.

It is an arithmetic number, because the mean of its divisors is an integer number (4065902568).

Almost surely, 261881420249 is an apocalyptic number.

It is an amenable number.

61881420249 is a deficient number, since it is larger than the sum of its proper divisors (35700241383).

61881420249 is a wasteful number, since it uses less digits than its factorization.

61881420249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 458637 (or 458634 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 61881420249 in words is "sixty-one billion, eight hundred eighty-one million, four hundred twenty thousand, two hundred forty-nine".

Divisors: 1 3 9 11 33 99 1367 4101 12303 15037 45111 135333 457253 1371759 4115277 5029783 15089349 45268047 625064851 1875194553 5625583659 6875713361 20627140083 61881420249