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5653761639696 = 24342574
BaseRepresentation
bin101001001000101111001…
…1101000100010100010000
3202000111100100222110010000
41102101132131010110100
51220112400434432241
620005145141210000
71122320325003402
oct122213635042420
922014310873100
105653761639696
11188a824063745
127738a1400900
133201bbbb74a1
14157901b84b72
159c1022c3eb6
hex5245e744510

5653761639696 has 125 divisors (see below), whose sum is σ = 16427546890051. Its totient is φ = 1877254189056.

The previous prime is 5653761639629. The next prime is 5653761639697. The reversal of 5653761639696 is 6969361673565.

The square root of 5653761639696 is 2377764.

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

5653761639696 is a `hidden beast` number, since 5 + 6 + 5 + 376 + 163 + 9 + 6 + 96 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5308581889296 + 345179750400 = 2304036^2 + 587520^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5653761639697) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 24 ways as a sum of consecutive naturals, for example, 21999072400 + ... + 21999072656.

Almost surely, 25653761639696 is an apocalyptic number.

5653761639696 is the 2377764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5653761639696

5653761639696 is an abundant number, since it is smaller than the sum of its proper divisors (10773785250355).

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

5653761639696 is an frugal number, since it uses more digits than its factorization.

5653761639696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1048 (or 262 counting only the distinct ones).

The product of its digits is 992023200, while the sum is 72.

The spelling of 5653761639696 in words is "five trillion, six hundred fifty-three billion, seven hundred sixty-one million, six hundred thirty-nine thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 257 324 432 514 648 771 1028 1296 1542 2056 2313 3084 4112 4626 6168 6939 9252 12336 13878 18504 20817 27756 37008 41634 55512 66049 83268 111024 132098 166536 198147 264196 333072 396294 528392 594441 792588 1056784 1188882 1585176 1783323 2377764 3170352 3566646 4755528 5349969 7133292 9511056 10699938 14266584 16974593 21399876 28533168 33949186 42799752 50923779 67898372 85599504 101847558 135796744 152771337 203695116 271593488 305542674 407390232 458314011 611085348 814780464 916628022 1222170696 1374942033 1833256044 2444341392 2749884066 3666512088 4362470401 5499768132 7333024176 8724940802 10999536264 13087411203 17449881604 21999072528 26174822406 34899763208 39262233609 52349644812 69799526416 78524467218 104699289624 117786700827 157048934436 209398579248 235573401654 314097868872 353360102481 471146803308 628195737744 706720204962 942293606616 1413440409924 1884587213232 2826880819848 5653761639696