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61634739861 = 331710910971123
BaseRepresentation
bin111001011001101101…
…110111111010010101
312220002102122012021000
4321121231313322111
52002211443133421
644151542213513
74311236434062
oct713155677225
9186072565230
1061634739861
1124159227342
12bb41424299
135a73337496
142da9a2bc69
15190b015226
hexe59b77e95

61634739861 has 64 divisors (see below), whose sum is σ = 97744838400. Its totient is φ = 38248962048.

The previous prime is 61634739851. The next prime is 61634739937. The reversal of 61634739861 is 16893743616.

It is a happy number.

61634739861 is a `hidden beast` number, since 6 + 163 + 473 + 9 + 8 + 6 + 1 = 666.

It is not a de Polignac number, because 61634739861 - 214 = 61634723477 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61634739798 and 61634739807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61634739851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54883446 + ... + 54884568.

It is an arithmetic number, because the mean of its divisors is an integer number (1527263100).

Almost surely, 261634739861 is an apocalyptic number.

It is an amenable number.

61634739861 is a deficient number, since it is larger than the sum of its proper divisors (36110098539).

61634739861 is a wasteful number, since it uses less digits than its factorization.

61634739861 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2355 (or 2349 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 61634739861 in words is "sixty-one billion, six hundred thirty-four million, seven hundred thirty-nine thousand, eight hundred sixty-one".

Divisors: 1 3 9 17 27 51 109 153 327 459 981 1097 1123 1853 2943 3291 3369 5559 9873 10107 16677 18649 19091 29619 30321 50031 55947 57273 119573 122407 167841 171819 358719 367221 503523 515457 1076157 1101663 1231931 2032741 2080919 3228471 3304989 3695793 6098223 6242757 11087379 18294669 18728271 20942827 33262137 54884007 56184813 62828481 134280479 188485443 402841437 565456329 1208524311 2282768143 3625572933 6848304429 20544913287 61634739861