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5700128984 = 2311267179491
BaseRepresentation
bin1010100111100000…
…10001000011011000
3112201020210112222022
411103300101003120
543133213111414
62341341314012
7261153203564
oct52360210330
915636715868
105700128984
112465635300
121130b65908
136cac148b4
143c10706a4
1523565218e
hex153c110d8

5700128984 has 96 divisors (see below), whose sum is σ = 12014049600. Its totient is φ = 2532868800.

The previous prime is 5700128923. The next prime is 5700128989. The reversal of 5700128984 is 4898210075.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5700128989) 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 23 ways as a sum of consecutive naturals, for example, 11608979 + ... + 11609469.

It is an arithmetic number, because the mean of its divisors is an integer number (125146350).

Almost surely, 25700128984 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 5700128984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6007024800).

5700128984 is an abundant number, since it is smaller than the sum of its proper divisors (6313920616).

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

5700128984 is a wasteful number, since it uses less digits than its factorization.

5700128984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 765 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 44.

The square root of 5700128984 is about 75499.1985652828. The cubic root of 5700128984 is about 1786.3294616521.

The spelling of 5700128984 in words is "five billion, seven hundred million, one hundred twenty-eight thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 11 22 44 67 88 121 134 179 242 268 358 484 491 536 716 737 968 982 1432 1474 1964 1969 2948 3928 3938 5401 5896 7876 8107 10802 11993 15752 16214 21604 21659 23986 32428 32897 43208 43318 47972 59411 64856 65794 86636 87889 95944 118822 131588 131923 173272 175778 237644 263176 263846 351556 361867 475288 527692 703112 723734 966779 1055384 1447468 1451153 1933558 2894936 2902306 3867116 3980537 5804612 5888563 7734232 7961074 10634569 11609224 11777126 15922148 21269138 23554252 31844296 42538276 47108504 64774193 85076552 129548386 259096772 518193544 712516123 1425032246 2850064492 5700128984