Search a number
-
+
65508042138 = 23711212890209
BaseRepresentation
bin111101000000100101…
…010110010110011010
320021002100221100002220
4331000211112112122
52033130024322023
650032144404510
74506231112410
oct750045262632
9207070840086
1065508042138
1125866644700
1210842616736
13623c928516
1432562012b0
151a860b03e3
hexf4095659a

65508042138 has 48 divisors (see below), whose sum is σ = 164582201280. Its totient is φ = 17015074560.

The previous prime is 65508042137. The next prime is 65508042139. The reversal of 65508042138 is 83124080556.

It is an interprime number because it is at equal distance from previous prime (65508042137) and next prime (65508042139).

It is a super-2 number, since 2×655080421382 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 65508042138.

It is not an unprimeable number, because it can be changed into a prime (65508042137) 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, 6440023 + ... + 6450186.

It is an arithmetic number, because the mean of its divisors is an integer number (3428795860).

Almost surely, 265508042138 is an apocalyptic number.

65508042138 is an abundant number, since it is smaller than the sum of its proper divisors (99074159142).

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

65508042138 is a wasteful number, since it uses less digits than its factorization.

65508042138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12890243 (or 12890232 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The spelling of 65508042138 in words is "sixty-five billion, five hundred eight million, forty-two thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 121 154 231 242 363 462 726 847 1694 2541 5082 12890209 25780418 38670627 77341254 90231463 141792299 180462926 270694389 283584598 425376897 541388778 850753794 992546093 1559715289 1985092186 2977638279 3119430578 4679145867 5955276558 9358291734 10918007023 21836014046 32754021069 65508042138