Search a number
-
+
65401216513644 = 223114112899375083
BaseRepresentation
bin11101101111011011010000…
…10001110011011001101100
322120120021222020011022101010
432313231220101303121230
532033013142411414034
6351032523141145220
716530040053665604
oct1667555021633154
9276507866138333
1065401216513644
1119925555796740
12740323b0bb210
132a6540130783b
141221615a6dc04
157863808bb3e9
hex3b7b6847366c

65401216513644 has 96 divisors (see below), whose sum is σ = 170668529176320. Its totient is φ = 19320168985600.

The previous prime is 65401216513579. The next prime is 65401216513679. The reversal of 65401216513644 is 44631561210456.

It is a junction number, because it is equal to n+sod(n) for n = 65401216513593 and 65401216513602.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2288527 + ... + 11663609.

It is an arithmetic number, because the mean of its divisors is an integer number (1777797178920).

Almost surely, 265401216513644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65401216513644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85334264588160).

65401216513644 is an abundant number, since it is smaller than the sum of its proper divisors (105267312662676).

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

65401216513644 is a wasteful number, since it uses less digits than its factorization.

65401216513644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9376431 (or 9376429 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 65401216513644 in words is "sixty-five trillion, four hundred one billion, two hundred sixteen million, five hundred thirteen thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 41 44 66 82 123 132 164 246 451 492 902 1289 1353 1804 2578 2706 3867 5156 5412 7734 14179 15468 28358 42537 52849 56716 85074 105698 158547 170148 211396 317094 581339 634188 1162678 1744017 2325356 3488034 6976068 9375083 18750166 28125249 37500332 56250498 103125913 112500996 206251826 309377739 384378403 412503652 618755478 768756806 1153135209 1237510956 1537513612 2306270418 4228162433 4612540836 8456324866 12084481987 12684487299 16912649732 24168963974 25368974598 36253445961 48337927948 50737949196 72506891922 132929301857 145013783844 265858603714 398787905571 495463761467 531717207428 797575811142 990927522934 1486391284401 1595151622284 1981855045868 2972782568802 5450101376137 5945565137604 10900202752274 16350304128411 21800405504548 32700608256822 65401216513644