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10328994288 = 243420993797
BaseRepresentation
bin10011001111010011…
…11111000111110000
3222122211211021110000
421213221333013300
5132123210304123
64424534110000
7513651000654
oct114751770760
928584737400
1010328994288
1144204a2318
1220031ab300
13c87bca552
146ddb22a64
15406be7b43
hex267a7f1f0

10328994288 has 100 divisors (see below), whose sum is σ = 29917225800. Its totient is φ = 3440451456.

The previous prime is 10328994287. The next prime is 10328994289. The reversal of 10328994288 is 88249982301.

10328994288 is a `hidden beast` number, since 103 + 28 + 99 + 428 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (10328994287) and next prime (10328994289).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10328994281) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2718406 + ... + 2722202.

It is an arithmetic number, because the mean of its divisors is an integer number (299172258).

Almost surely, 210328994288 is an apocalyptic number.

10328994288 is a gapful number since it is divisible by the number (18) 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 10328994288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14958612900).

10328994288 is an abundant number, since it is smaller than the sum of its proper divisors (19588231512).

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

10328994288 is a wasteful number, since it uses less digits than its factorization.

10328994288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5916 (or 5901 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 10328994288 in words is "ten billion, three hundred twenty-eight million, nine hundred ninety-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2099 3797 4198 6297 7594 8396 11391 12594 15188 16792 18891 22782 25188 30376 33584 34173 37782 45564 50376 56673 60752 68346 75564 91128 100752 102519 113346 136692 151128 170019 182256 205038 226692 273384 302256 307557 340038 410076 453384 546768 615114 680076 820152 906768 1230228 1360152 1640304 2460456 2720304 4920912 7969903 15939806 23909709 31879612 47819418 63759224 71729127 95638836 127518448 143458254 191277672 215187381 286916508 382555344 430374762 573833016 645562143 860749524 1147666032 1291124286 1721499048 2582248572 3442998096 5164497144 10328994288