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644200006053114 = 232710150620776839
BaseRepresentation
bin1001001001111001011000000…
…0100001100110110011111010
310010110220220211001012002202200
42102132112000201212303322
51133414033103022144424
610202033221450411030
7252455625454614510
oct22236260041466372
93113826731162680
10644200006053114
11177297763180655
126030233a730a76
132185ba5252b1b4
14b5116378a24b0
154e721c1b128c9
hex249e580866cfa

644200006053114 has 48 divisors (see below), whose sum is σ = 1610955602156160. Its totient is φ = 182234796616800.

The previous prime is 644200006053113. The next prime is 644200006053161. The reversal of 644200006053114 is 411350600002446.

644200006053114 is a `hidden beast` number, since 6 + 4 + 4 + 2 + 0 + 0 + 0 + 0 + 605 + 31 + 14 = 666.

It is a super-2 number, since 2×6442000060531142 (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (644200006053113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25310375694 + ... + 25310401145.

It is an arithmetic number, because the mean of its divisors is an integer number (33561575044920).

Almost surely, 2644200006053114 is an apocalyptic number.

644200006053114 is an abundant number, since it is smaller than the sum of its proper divisors (966755596103046).

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

644200006053114 is a wasteful number, since it uses less digits than its factorization.

644200006053114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50620776955 (or 50620776952 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 644200006053114 in words is "six hundred forty-four trillion, two hundred billion, six million, fifty-three thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 50620776839 101241553678 151862330517 303724661034 354345437873 455586991551 708690875746 911173983102 1063036313619 2126072627238 3189108940857 5112698460739 6378217881714 10225396921478 15338095382217 30676190764434 35788889225173 46014286146651 71577778450346 92028572293302 107366667675519 214733335351038 322100003026557 644200006053114