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644116505141 = 3731635503811
BaseRepresentation
bin10010101111110000101…
…01011110001000110101
32021120120120211201110002
421113320111132020311
541023122311131031
61211523020041045
764351543646354
oct11277025361065
92246516751402
10644116505141
11229193a7a8aa
12a4a01393185
1348980803715
142326545199b
1511b4ce3eccb
hex95f855e235

644116505141 has 8 divisors (see below), whose sum is σ = 661734324384. Its totient is φ = 626509699920.

The previous prime is 644116505113. The next prime is 644116505147. The reversal of 644116505141 is 141505611446.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-644116505141 is a prime.

It is a super-5 number, since 5×6441165051415 (a number of 60 digits) contains 55555 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 644116505095 and 644116505104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (644116505147) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2634875 + ... + 2868936.

It is an arithmetic number, because the mean of its divisors is an integer number (82716790548).

Almost surely, 2644116505141 is an apocalyptic number.

It is an amenable number.

644116505141 is a deficient number, since it is larger than the sum of its proper divisors (17617819243).

644116505141 is a wasteful number, since it uses less digits than its factorization.

644116505141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507011.

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 644116505141 in words is "six hundred forty-four billion, one hundred sixteen million, five hundred five thousand, one hundred forty-one".

Divisors: 1 37 3163 117031 5503811 203641007 17408554193 644116505141