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65580039396 = 22344123472
BaseRepresentation
bin111101000100110111…
…111111110011100100
320021021101102011210000
4331010313333303210
52033301442230041
650043235501300
74511064065064
oct750467776344
9207241364700
1065580039396
11258a324a273
1210862757830
136251816151
1432619c33a4
151a8c582bb6
hexf44dffce4

65580039396 has 135 divisors (see below), whose sum is σ = 176230471417. Its totient is φ = 21265381440.

The previous prime is 65580039379. The next prime is 65580039407. The reversal of 65580039396 is 69393008556.

The square root of 65580039396 is 256086.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3160013796 + 62420025600 = 56214^2 + 249840^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is an unprimeable number.

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 44 ways as a sum of consecutive naturals, for example, 188991295 + ... + 188991641.

Almost surely, 265580039396 is an apocalyptic number.

65580039396 is the 256086-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65580039396

65580039396 is an abundant number, since it is smaller than the sum of its proper divisors (110650432021).

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

65580039396 is an equidigital number, since it uses as much as digits as its factorization.

65580039396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792 (or 393 counting only the distinct ones).

The product of its (nonzero) digits is 5248800, while the sum is 54.

The spelling of 65580039396 in words is "sixty-five billion, five hundred eighty million, thirty-nine thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 162 164 246 324 347 369 492 694 738 1041 1107 1388 1476 1681 2082 2214 3123 3321 3362 4164 4428 5043 6246 6642 6724 9369 10086 12492 13284 14227 15129 18738 20172 28107 28454 30258 37476 42681 45387 56214 56908 60516 85362 90774 112428 120409 128043 136161 170724 181548 240818 256086 272322 361227 384129 481636 512172 544644 583307 722454 768258 1083681 1152387 1166614 1444908 1536516 1749921 2167362 2304774 2333228 3251043 3499842 4334724 4609548 4936769 5249763 6502086 6999684 9753129 9873538 10499526 13004172 14810307 15749289 19506258 19747076 20999052 29620614 31498578 39012516 44430921 47247867 59241228 62997156 88861842 94495734 133292763 177723684 188991468 202407529 266585526 399878289 404815058 533171052 607222587 799756578 809630116 1214445174 1599513156 1821667761 2428890348 3643335522 5465003283 7286671044 10930006566 16395009849 21860013132 32790019698 65580039396