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1638848141 = 723371032671
BaseRepresentation
bin110000110101110…
…1101011010001101
311020012210010000022
41201223231122031
511324021120031
6430342111525
755416656630
oct14153553215
94205703008
101638848141
117710a5957
12398a1b5a5
132016b8238
14117927c17
1598d2497b
hex61aed68d

1638848141 has 32 divisors (see below), whose sum is σ = 2027470848. Its totient is φ = 1294159680.

The previous prime is 1638848131. The next prime is 1638848147. The reversal of 1638848141 is 1418488361.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1638848141 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1638848092 and 1638848101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1638848147) 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 31 ways as a sum of consecutive naturals, for example, 612236 + ... + 614906.

It is an arithmetic number, because the mean of its divisors is an integer number (63358464).

Almost surely, 21638848141 is an apocalyptic number.

It is an amenable number.

1638848141 is a deficient number, since it is larger than the sum of its proper divisors (388622707).

1638848141 is a wasteful number, since it uses less digits than its factorization.

1638848141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2841.

The product of its digits is 147456, while the sum is 44.

The square root of 1638848141 is about 40482.6893992976. The cubic root of 1638848141 is about 1178.9975545035.

The spelling of 1638848141 in words is "one billion, six hundred thirty-eight million, eight hundred forty-eight thousand, one hundred forty-one".

Divisors: 1 7 23 37 103 161 259 721 851 2369 2671 3811 5957 16583 18697 26677 61433 87653 98827 275113 430031 613571 691789 1925791 2273021 6327599 10179181 15911147 44293193 71254267 234121163 1638848141