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2057835816 = 233228581053
BaseRepresentation
bin111101010101000…
…0001010100101000
312022102011220001100
41322222001110220
513203301221231
6540110321400
7101665213221
oct17252012450
95272156040
102057835816
1196665a563
124951b9260
1326a44723a
14157432248
15c09d91e6
hex7aa81528

2057835816 has 24 divisors (see below), whose sum is σ = 5573305530. Its totient is φ = 685945248.

The previous prime is 2057835809. The next prime is 2057835847. The reversal of 2057835816 is 6185387502.

2057835816 is a `hidden beast` number, since 20 + 578 + 3 + 58 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2000772900 + 57062916 = 44730^2 + 7554^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×20578358162 = 8469376491224771712, which contains 22 as substring.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 14290455 + ... + 14290598.

Almost surely, 22057835816 is an apocalyptic number.

It is an amenable number.

2057835816 is an abundant number, since it is smaller than the sum of its proper divisors (3515469714).

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

2057835816 is a wasteful number, since it uses less digits than its factorization.

2057835816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28581065 (or 28581058 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The square root of 2057835816 is about 45363.3752712472. The cubic root of 2057835816 is about 1271.9505884449.

The spelling of 2057835816 in words is "two billion, fifty-seven million, eight hundred thirty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 28581053 57162106 85743159 114324212 171486318 228648424 257229477 342972636 514458954 685945272 1028917908 2057835816