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645683574558648 = 2331737303191410727
BaseRepresentation
bin1001001011001111101110110…
…0000110010100111110111000
310010200011202011111001211120010
42102303323230012110332320
51134112334430041334043
610205130534512301520
7253001045620056423
oct22263735406247670
93120152144054503
10645683574558648
111778099589a1a4a
12605019768418a0
13219389136709c2
14b563374b589ba
154e9aaa1681133
hex24b3eec194fb8

645683574558648 has 128 divisors (see below), whose sum is σ = 1755415122278400. Its totient is φ = 197085961119744.

The previous prime is 645683574558647. The next prime is 645683574558667. The reversal of 645683574558648 is 846855475386546.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (645683574558643) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 456990261 + ... + 458400987.

It is an arithmetic number, because the mean of its divisors is an integer number (13714180642800).

Almost surely, 2645683574558648 is an apocalyptic number.

645683574558648 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 645683574558648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (877707561139200).

645683574558648 is an abundant number, since it is smaller than the sum of its proper divisors (1109731547719752).

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

645683574558648 is a wasteful number, since it uses less digits than its factorization.

645683574558648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441109 (or 1441105 counting only the distinct ones).

The product of its digits is 92897280000, while the sum is 84.

The spelling of 645683574558648 in words is "six hundred forty-five trillion, six hundred eighty-three billion, five hundred seventy-four million, five hundred fifty-eight thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 34 37 51 68 74 102 111 136 148 204 222 296 408 444 629 888 1258 1887 2516 3774 5032 7548 15096 30319 60638 90957 121276 181914 242552 363828 515423 727656 1030846 1121803 1410727 1546269 2061692 2243606 2821454 3092538 3365409 4123384 4232181 4487212 5642908 6185076 6730818 8464362 8974424 11285816 12370152 13461636 16928724 19070651 23982359 26923272 33857448 38141302 47964718 52196899 57211953 71947077 76282604 95929436 104393798 114423906 143894154 152565208 156590697 191858872 208787596 228847812 287788308 313181394 417575192 457695624 575576616 626362788 887347283 1252725576 1774694566 2662041849 3549389132 5324083698 7098778264 10648167396 21296334792 42771831913 85543663826 128315495739 171087327652 256630991478 342174655304 513261982956 727121142521 1026523965912 1454242285042 1582557780781 2181363427563 2908484570084 3165115561562 4362726855126 4747673342343 5816969140168 6330231123124 8725453710252 9495346684686 12660462246248 17450907420504 18990693369372 26903482273277 37981386738744 53806964546554 80710446819831 107613929093108 161420893639662 215227858186216 322841787279324 645683574558648