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61334689520 = 2451367387631
BaseRepresentation
bin111001000111110101…
…010001011011110000
312212022112001001120102
4321013311101123300
52001103140031040
644102103131532
74300634154536
oct710765213360
9185275031512
1061334689520
1124014919055
12ba78a43ba8
135a2611c7c0
142d7bc44156
1518de9e6515
hexe47d516f0

61334689520 has 80 divisors (see below), whose sum is σ = 153802572672. Its totient is φ = 22612746240.

The previous prime is 61334689511. The next prime is 61334689523. The reversal of 61334689520 is 2598643316.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61334689523) 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 15 ways as a sum of consecutive naturals, for example, 656105 + ... + 743735.

Almost surely, 261334689520 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 61334689520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76901286336).

61334689520 is an abundant number, since it is smaller than the sum of its proper divisors (92467883152).

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

61334689520 is a wasteful number, since it uses less digits than its factorization.

61334689520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88330 (or 88324 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 47.

The spelling of 61334689520 in words is "sixty-one billion, three hundred thirty-four million, six hundred eighty-nine thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 673 1040 1346 2692 3365 5384 6730 8749 10768 13460 17498 26920 34996 43745 53840 69992 87490 87631 139984 174980 175262 349960 350524 438155 699920 701048 876310 1139203 1402096 1752620 2278406 3505240 4556812 5696015 7010480 9113624 11392030 18227248 22784060 45568120 58975663 91136240 117951326 235902652 294878315 471805304 589756630 766683619 943610608 1179513260 1533367238 2359026520 3066734476 3833418095 4718053040 6133468952 7666836190 12266937904 15333672380 30667344760 61334689520