Search a number
-
+
65623320161312 = 2547611621441263
BaseRepresentation
bin11101110101111000111101…
…01011111110110000100000
322121100112021000100122012212
432322330132223332300200
532100133024430130222
6351322534225141252
716552062022565234
oct1672743653766040
9277315230318185
1065623320161312
1119a0076a486551
12743a2a518a828
132a80338a98874
14122c2855925c4
1578c02e5e46e2
hex3baf1eafec20

65623320161312 has 96 divisors (see below), whose sum is σ = 134190825237504. Its totient is φ = 31567530470400.

The previous prime is 65623320161293. The next prime is 65623320161317. The reversal of 65623320161312 is 21316102332656.

It is a super-2 number, since 2×656233201613122 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 65623320161312.

It is not an unprimeable number, because it can be changed into a prime (65623320161317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 148496393 + ... + 148937655.

It is an arithmetic number, because the mean of its divisors is an integer number (1397821096224).

Almost surely, 265623320161312 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 65623320161312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67095412618752).

65623320161312 is an abundant number, since it is smaller than the sum of its proper divisors (68567505076192).

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

65623320161312 is a wasteful number, since it uses less digits than its factorization.

65623320161312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443002 (or 442994 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 41.

Adding to 65623320161312 its reverse (21316102332656), we get a palindrome (86939422493968).

The spelling of 65623320161312 in words is "sixty-five trillion, six hundred twenty-three billion, three hundred twenty million, one hundred sixty-one thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 47 61 94 122 188 244 376 488 752 976 1504 1621 1952 2867 3242 5734 6484 11468 12968 22936 25936 45872 51872 76187 91744 98881 152374 197762 304748 395524 441263 609496 791048 882526 1218992 1582096 1765052 2437984 3164192 3530104 4647407 7060208 9294814 14120416 18589628 20739361 26917043 37179256 41478722 53834086 74358512 82957444 107668172 148717024 165914888 215336344 331829776 430672688 663659552 715287323 861345376 1265101021 1430574646 2530202042 2861149292 5060404084 5722298584 10120808168 11444597168 20241616336 22889194336 33618504181 40483232672 43632526703 67237008362 87265053406 134474016724 174530106812 268948033448 349060213624 537896066896 698120427248 1075792133792 1396240854496 2050728755041 4101457510082 8202915020164 16405830040328 32811660080656 65623320161312