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4052000016 = 2432197142837
BaseRepresentation
bin1111000110000100…
…1001110100010000
3101110101112221001200
43301201021310100
531244303000031
61510024231200
7202261301061
oct36141116420
911411487050
104052000016
11179a280649
1295100b500
134c762a25c
142a620c568
1518aae78e6
hexf1849d10

4052000016 has 60 divisors (see below), whose sum is σ = 11397615372. Its totient is φ = 1343801088.

The previous prime is 4052000011. The next prime is 4052000023. The reversal of 4052000016 is 6100002504.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2813241600 + 1238758416 = 53040^2 + 35196^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (4052000011) 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 11 ways as a sum of consecutive naturals, for example, 43051 + ... + 99786.

Almost surely, 24052000016 is an apocalyptic number.

It is an amenable number.

4052000016 is an abundant number, since it is smaller than the sum of its proper divisors (7345615356).

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

4052000016 is a wasteful number, since it uses less digits than its factorization.

4052000016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143048 (or 143039 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 4052000016 is about 63655.3219770350. The cubic root of 4052000016 is about 1594.2501975251.

The spelling of 4052000016 in words is "four billion, fifty-two million, sixteen", and thus it is an aban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 197 394 591 788 1182 1576 1773 2364 3152 3546 4728 7092 9456 14184 28368 142837 285674 428511 571348 857022 1142696 1285533 1714044 2285392 2571066 3428088 5142132 6856176 10284264 20568528 28138889 56277778 84416667 112555556 168833334 225111112 253250001 337666668 450222224 506500002 675333336 1013000004 1350666672 2026000008 4052000016