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689756289660 = 2232533114817817
BaseRepresentation
bin10100000100110001010…
…11011011101001111100
32102221101022010222212200
422002120223123221330
542300110102232120
61244511503031500
7100555542503544
oct12023053335174
92387338128780
10689756289660
11246584497489
12b1819b9b590
135007512cb89
1425554a62324
1512e1eb08e90
hexa098adba7c

689756289660 has 144 divisors (see below), whose sum is σ = 2100267423072. Its totient is φ = 183232051200.

The previous prime is 689756289653. The next prime is 689756289661. The reversal of 689756289660 is 66982657986.

689756289660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (689756289661) 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, 88234072 + ... + 88241888.

It is an arithmetic number, because the mean of its divisors is an integer number (14585190438).

Almost surely, 2689756289660 is an apocalyptic number.

689756289660 is a gapful number since it is divisible by the number (60) 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 689756289660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1050133711536).

689756289660 is an abundant number, since it is smaller than the sum of its proper divisors (1410511133412).

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

689756289660 is a wasteful number, since it uses less digits than its factorization.

689756289660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9644 (or 9639 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 689756289660 in words is "six hundred eighty-nine billion, seven hundred fifty-six million, two hundred eighty-nine thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 331 662 993 1324 1481 1655 1986 2962 2979 3310 3972 4443 4965 5924 5958 6620 7405 7817 8886 9930 11916 13329 14810 14895 15634 17772 19860 22215 23451 26658 29620 29790 31268 39085 44430 46902 53316 59580 66645 70353 78170 88860 93804 117255 133290 140706 156340 234510 266580 281412 351765 469020 490211 703530 980422 1407060 1470633 1960844 2451055 2587427 2941266 4411899 4902110 5174854 5882532 7353165 7762281 8823798 9804220 10349708 11576977 12937135 14706330 15524562 17647596 22059495 23153954 23286843 25874270 29412660 31049124 34730931 38811405 44118990 46307908 46573686 51748540 57884885 69461862 77622810 88237980 93147372 104192793 115769770 116434215 138923724 155245620 173654655 208385586 231539540 232868430 347309310 416771172 465736860 520963965 694618620 1041927930 2083855860 3831979387 7663958774 11495938161 15327917548 19159896935 22991876322 34487814483 38319793870 45983752644 57479690805 68975628966 76639587740 114959381610 137951257932 172439072415 229918763220 344878144830 689756289660