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57532828050 = 23252137933217
BaseRepresentation
bin110101100101001110…
…010100100110010010
312111111120011111002100
4311211032110212102
51420311400444200
642232532101230
74104500653365
oct654516244622
9174446144070
1057532828050
1122443866285
12b197764816
13556b583029
142adad4a0dc
15176ad5dd00
hexd65394992

57532828050 has 72 divisors (see below), whose sum is σ = 155699957556. Its totient is φ = 15230085120.

The previous prime is 57532828037. The next prime is 57532828117. The reversal of 57532828050 is 5082823575.

57532828050 is a `hidden beast` number, since 575 + 3 + 2 + 8 + 28 + 0 + 50 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 31336434441 + 26196393609 = 177021^2 + 161853^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 57532827987 and 57532828005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 404959 + ... + 528258.

Almost surely, 257532828050 is an apocalyptic number.

57532828050 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

57532828050 is an abundant number, since it is smaller than the sum of its proper divisors (98167129506).

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

57532828050 is a wasteful number, since it uses less digits than its factorization.

57532828050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933372 (or 933364 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 57532828050 in words is "fifty-seven billion, five hundred thirty-two million, eight hundred twenty-eight thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 137 150 225 274 411 450 685 822 1233 1370 2055 2466 3425 4110 6165 6850 10275 12330 20550 30825 61650 933217 1866434 2799651 4666085 5599302 8398953 9332170 13998255 16797906 23330425 27996510 41994765 46660850 69991275 83989530 127850729 139982550 209973825 255701458 383552187 419947650 639253645 767104374 1150656561 1278507290 1917760935 2301313122 3196268225 3835521870 5753282805 6392536450 9588804675 11506565610 19177609350 28766414025 57532828050