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128952470952 = 23328934695801
BaseRepresentation
bin111100000011000101…
…0101000110110101000
3110022211220211020220200
41320012022220312220
54103043313032302
6135123454552200
712213363626544
oct1700612506650
9408756736820
10128952470952
114a763343048
1220ba9b08660
13c210b65b66
146354308a24
15354ade481c
hex1e062a8da8

128952470952 has 96 divisors (see below), whose sum is σ = 353333097000. Its totient is φ = 42481612800.

The previous prime is 128952470951. The next prime is 128952470953. The reversal of 128952470952 is 259074259821.

128952470952 is a `hidden beast` number, since 1 + 2 + 89 + 5 + 2 + 470 + 95 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (128952470951) and next prime (128952470953).

It can be written as a sum of positive squares in 4 ways, for example, as 94847984676 + 34104486276 = 307974^2 + 184674^2 .

It is not an unprimeable number, because it can be changed into a prime (128952470951) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22226452 + ... + 22232252.

Almost surely, 2128952470952 is an apocalyptic number.

128952470952 is a gapful number since it is divisible by the number (12) 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 128952470952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176666548500).

128952470952 is an abundant number, since it is smaller than the sum of its proper divisors (224380626048).

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

128952470952 is a wasteful number, since it uses less digits than its factorization.

128952470952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9371 (or 9364 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 128952470952 in words is "one hundred twenty-eight billion, nine hundred fifty-two million, four hundred seventy thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 89 178 267 356 534 712 801 1068 1602 2136 3204 3469 5801 6408 6938 10407 11602 13876 17403 20814 23204 27752 31221 34806 41628 46408 52209 62442 69612 83256 104418 124884 139224 208836 249768 308741 417672 516289 617482 926223 1032578 1234964 1548867 1852446 2065156 2469928 2778669 3097734 3704892 4130312 4646601 5557338 6195468 7409784 9293202 11114676 12390936 18586404 20123669 22229352 37172808 40247338 60371007 80494676 120742014 160989352 181113021 241484028 362226042 482968056 724452084 1448904168 1791006541 3582013082 5373019623 7164026164 10746039246 14328052328 16119058869 21492078492 32238117738 42984156984 64476235476 128952470952