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9714522640 = 245536313631
BaseRepresentation
bin10010000110000011…
…11101101000010000
3221002000120212210211
421003001331220100
5124343404211030
64243543533504
7462510036304
oct110301755020
927060525724
109714522640
11413565a709
121a7145a294
13bba805964
1468228dd04
153bccbc12a
hex24307da10

9714522640 has 80 divisors (see below), whose sum is σ = 23055238656. Its totient is φ = 3805401600.

The previous prime is 9714522613. The next prime is 9714522647. The reversal of 9714522640 is 462254179.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 9714522593 and 9714522602.

It is not an unprimeable number, because it can be changed into a prime (9714522647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2673625 + ... + 2677255.

Almost surely, 29714522640 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 9714522640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11527619328).

9714522640 is an abundant number, since it is smaller than the sum of its proper divisors (13340716016).

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

9714522640 is a wasteful number, since it uses less digits than its factorization.

9714522640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4328 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 40.

The square root of 9714522640 is about 98562.2779769218. The cubic root of 9714522640 is about 2133.7350352498.

The spelling of 9714522640 in words is "nine billion, seven hundred fourteen million, five hundred twenty-two thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 53 80 106 212 265 424 530 631 848 1060 1262 2120 2524 3155 3631 4240 5048 6310 7262 10096 12620 14524 18155 25240 29048 33443 36310 50480 58096 66886 72620 133772 145240 167215 192443 267544 290480 334430 384886 535088 668860 769772 962215 1337720 1539544 1924430 2291161 2675440 3079088 3848860 4582322 7697720 9164644 11455805 15395440 18329288 22911610 36658576 45823220 91646440 121431533 183292880 242863066 485726132 607157665 971452264 1214315330 1942904528 2428630660 4857261320 9714522640