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6128360608 = 256115719997
BaseRepresentation
bin1011011010100011…
…10101110010100000
3120211002120222022211
411231101311302200
5100022330014413
62452040011504
7304603130356
oct55521656240
916732528284
106128360608
112665333037
121230460b94
1376885c2a6
14421ca37d6
1525d04083d
hex16d475ca0

6128360608 has 48 divisors (see below), whose sum is σ = 12341725704. Its totient is φ = 2994600960.

The previous prime is 6128360573. The next prime is 6128360611. The reversal of 6128360608 is 8060638216.

It can be written as a sum of positive squares in 4 ways, for example, as 4210971664 + 1917388944 = 64892^2 + 43788^2 .

It is a super-2 number, since 2×61283606082 = 75113607483372259328, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 296466 + ... + 316462.

Almost surely, 26128360608 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 6128360608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6170862852).

6128360608 is an abundant number, since it is smaller than the sum of its proper divisors (6213365096).

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

6128360608 is a wasteful number, since it uses less digits than its factorization.

6128360608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20225 (or 20217 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 40.

The square root of 6128360608 is about 78283.8464052451. The cubic root of 6128360608 is about 1829.9874194642.

The spelling of 6128360608 in words is "six billion, one hundred twenty-eight million, three hundred sixty thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 61 122 157 244 314 488 628 976 1256 1952 2512 5024 9577 19154 19997 38308 39994 76616 79988 153232 159976 306464 319952 639904 1219817 2439634 3139529 4879268 6279058 9758536 12558116 19517072 25116232 39034144 50232464 100464928 191511269 383022538 766045076 1532090152 3064180304 6128360608