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9689209440 = 2535103319541
BaseRepresentation
bin10010000011000010…
…11001101001100000
3221000020221211121220
421001201121221200
5124320414200230
64241241215040
7462051631011
oct110141315140
927006854556
109689209440
114122340509
121a64a91480
13bb54b2031
1467cb81008
153ba96bd10
hex241859a60

9689209440 has 96 divisors (see below), whose sum is σ = 30552119136. Its totient is φ = 2581155840.

The previous prime is 9689209423. The next prime is 9689209447. The reversal of 9689209440 is 449029869.

It is a happy number.

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

It is a super-2 number, since 2×96892094402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9689209447) 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, 486070 + ... + 505610.

It is an arithmetic number, because the mean of its divisors is an integer number (318251241).

Almost surely, 29689209440 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 9689209440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15276059568).

9689209440 is an abundant number, since it is smaller than the sum of its proper divisors (20862909696).

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

9689209440 is a wasteful number, since it uses less digits than its factorization.

9689209440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20592 (or 20584 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 51.

The square root of 9689209440 is about 98433.7820059760. The cubic root of 9689209440 is about 2131.8801270680.

The spelling of 9689209440 in words is "nine billion, six hundred eighty-nine million, two hundred nine thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 1033 2066 3099 4132 5165 6198 8264 10330 12396 15495 16528 19541 20660 24792 30990 33056 39082 41320 49584 58623 61980 78164 82640 97705 99168 117246 123960 156328 165280 195410 234492 247920 293115 312656 390820 468984 495840 586230 625312 781640 937968 1172460 1563280 1875936 2344920 3126560 4689840 9379680 20185853 40371706 60557559 80743412 100929265 121115118 161486824 201858530 242230236 302787795 322973648 403717060 484460472 605575590 645947296 807434120 968920944 1211151180 1614868240 1937841888 2422302360 3229736480 4844604720 9689209440