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642443142033 = 32711927046381
BaseRepresentation
bin10010101100101001001…
…10000110001110010001
32021102020222010001210200
421112110212012032101
541011210421021113
61211045002045413
764262224414620
oct11262446061621
92242228101720
10642443142033
11228505450390
12a4614aa9869
1348774c22434
14231471016b7
1511aa109d873
hex9594986391

642443142033 has 24 divisors (see below), whose sum is σ = 1156953884736. Its totient is φ = 333736696800.

The previous prime is 642443141971. The next prime is 642443142043. The reversal of 642443142033 is 330241344246.

642443142033 is a `hidden beast` number, since 6 + 4 + 2 + 443 + 1 + 4 + 203 + 3 = 666.

It is not a de Polignac number, because 642443142033 - 28 = 642443141777 is a prime.

It is a super-2 number, since 2×6424431420332 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (642443142043) 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 23 ways as a sum of consecutive naturals, for example, 463522498 + ... + 463523883.

It is an arithmetic number, because the mean of its divisors is an integer number (48206411864).

Almost surely, 2642443142033 is an apocalyptic number.

642443142033 is a gapful number since it is divisible by the number (63) formed by its first and last digit.

It is an amenable number.

642443142033 is a deficient number, since it is larger than the sum of its proper divisors (514510742703).

642443142033 is a wasteful number, since it uses less digits than its factorization.

642443142033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 927046405 (or 927046402 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 36.

Adding to 642443142033 its reverse (330241344246), we get a palindrome (972684486279).

The spelling of 642443142033 in words is "six hundred forty-two billion, four hundred forty-three million, one hundred forty-two thousand, thirty-three".

Divisors: 1 3 7 9 11 21 33 63 77 99 231 693 927046381 2781139143 6489324667 8343417429 10197510191 19467974001 30592530573 58403922003 71382571337 91777591719 214147714011 642443142033