Search a number
-
+
61580316141 = 323110315713649
BaseRepresentation
bin111001010110011110…
…010000110111101101
312212221122020011221200
4321112132100313231
52002104030104031
644142315520113
74310006023251
oct712636206755
9185848204850
1061580316141
1124130534a63
12bb27159039
135a64c906b6
142da2702261
1519063648e6
hexe56790ded

61580316141 has 48 divisors (see below), whose sum is σ = 93307468800. Its totient is φ = 39090055680.

The previous prime is 61580316139. The next prime is 61580316157. The reversal of 61580316141 is 14161308516.

It is a happy number.

61580316141 is a `hidden beast` number, since 6 + 1 + 5 + 8 + 0 + 31 + 614 + 1 = 666.

It is not a de Polignac number, because 61580316141 - 21 = 61580316139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 61580316096 and 61580316105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61580316101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4504885 + ... + 4518533.

It is an arithmetic number, because the mean of its divisors is an integer number (1943905600).

Almost surely, 261580316141 is an apocalyptic number.

It is an amenable number.

61580316141 is a deficient number, since it is larger than the sum of its proper divisors (31727152659).

61580316141 is a wasteful number, since it uses less digits than its factorization.

61580316141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13946 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 61580316141 in words is "sixty-one billion, five hundred eighty million, three hundred sixteen thousand, one hundred forty-one".

Divisors: 1 3 9 31 93 103 157 279 309 471 927 1413 3193 4867 9579 13649 14601 16171 28737 40947 43803 48513 122841 145539 423119 501301 1269357 1405847 1503903 2142893 3808071 4217541 4511709 6428679 12652623 19286037 43581257 66429683 130743771 199289049 220717979 392231313 597867147 662153937 1986461811 6842257349 20526772047 61580316141