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128398649568 = 2537331577249
BaseRepresentation
bin111011110010100100…
…1111110100011100000
3110021102022201012210120
41313211021332203200
54100430023241233
6134552512400240
712163560341130
oct1674511764340
9407368635716
10128398649568
114a4a9765922
1220a74546080
13c1531b81b7
146300942ac0
1535174994b3
hex1de527e8e0

128398649568 has 96 divisors (see below), whose sum is σ = 386360352000. Its totient is φ = 36574433280.

The previous prime is 128398649557. The next prime is 128398649569. The reversal of 128398649568 is 865946893821.

128398649568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128398649569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 66193 + ... + 511056.

It is an arithmetic number, because the mean of its divisors is an integer number (4024587000).

Almost surely, 2128398649568 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 128398649568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193180176000).

128398649568 is an abundant number, since it is smaller than the sum of its proper divisors (257961702432).

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

128398649568 is a wasteful number, since it uses less digits than its factorization.

128398649568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 577600 (or 577592 counting only the distinct ones).

The product of its digits is 179159040, while the sum is 69.

The spelling of 128398649568 in words is "one hundred twenty-eight billion, three hundred ninety-eight million, six hundred forty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 331 336 662 672 993 1324 1986 2317 2648 3972 4634 5296 6951 7944 9268 10592 13902 15888 18536 27804 31776 37072 55608 74144 111216 222432 577249 1154498 1731747 2308996 3463494 4040743 4617992 6926988 8081486 9235984 12122229 13853976 16162972 18471968 24244458 27707952 32325944 48488916 55415904 64651888 96977832 129303776 191069419 193955664 382138838 387911328 573208257 764277676 1146416514 1337485933 1528555352 2292833028 2674971866 3057110704 4012457799 4585666056 5349943732 6114221408 8024915598 9171332112 10699887464 16049831196 18342664224 21399774928 32099662392 42799549856 64199324784 128398649568