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4057995645 = 3351122911933
BaseRepresentation
bin1111000111100000…
…0001100101111101
3101110210211112112000
43301320001211331
531302321330040
61510400532513
7202363252044
oct36170014575
911423745460
104057995645
1117a26a6210
12953021139
134c8949272
142a6d2d55b
1518b3ce130
hexf1e0197d

4057995645 has 64 divisors (see below), whose sum is σ = 7905081600. Its totient is φ = 1958757120.

The previous prime is 4057995629. The next prime is 4057995647. The reversal of 4057995645 is 5465997504.

4057995645 is a `hidden beast` number, since 4 + 0 + 5 + 79 + 9 + 564 + 5 = 666.

It is not a de Polignac number, because 4057995645 - 24 = 4057995629 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4057995591 and 4057995600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4057995647) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 334099 + ... + 346031.

It is an arithmetic number, because the mean of its divisors is an integer number (123516900).

Almost surely, 24057995645 is an apocalyptic number.

4057995645 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4057995645 is a deficient number, since it is larger than the sum of its proper divisors (3847085955).

4057995645 is a wasteful number, since it uses less digits than its factorization.

4057995645 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12187 (or 12181 counting only the distinct ones).

The product of its (nonzero) digits is 6804000, while the sum is 54.

The square root of 4057995645 is about 63702.3990521550. The cubic root of 4057995645 is about 1595.0361322121.

The spelling of 4057995645 in words is "four billion, fifty-seven million, nine hundred ninety-five thousand, six hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 229 297 495 687 1145 1485 2061 2519 3435 6183 7557 10305 11933 12595 22671 30915 35799 37785 59665 68013 107397 113355 131263 178995 322191 340065 393789 536985 656315 1181367 1610955 1968945 2732657 3544101 5906835 8197971 13663285 17720505 24593913 30059227 40989855 73781739 90177681 122969565 150296135 270533043 368908695 450888405 811599129 1352665215 4057995645