Search a number
-
+
26677356655312 = 24117910130761879
BaseRepresentation
bin1100001000011010011100…
…10111011111001011010000
310111110022220212001100211001
412010031032113133023100
511444040211300432222
6132423224121031344
75422242524063326
oct604151627371320
9114408825040731
1026677356655312
11855589239a080
122baa300925554
1311b6882897b4c
14683295d83d16
15313e15066e27
hex18434e5df2d0

26677356655312 has 160 divisors (see below), whose sum is σ = 57854097100800. Its totient is φ = 11815232832000.

The previous prime is 26677356655273. The next prime is 26677356655337. The reversal of 26677356655312 is 21355665377662.

It is a super-2 number, since 2×266773566553122 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

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, 431090389 + ... + 431152267.

It is an arithmetic number, because the mean of its divisors is an integer number (361588106880).

Almost surely, 226677356655312 is an apocalyptic number.

26677356655312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 26677356655312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28927048550400).

26677356655312 is an abundant number, since it is smaller than the sum of its proper divisors (31176740445488).

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

26677356655312 is a wasteful number, since it uses less digits than its factorization.

26677356655312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62385 (or 62379 counting only the distinct ones).

The product of its digits is 285768000, while the sum is 64.

The spelling of 26677356655312 in words is "twenty-six trillion, six hundred seventy-seven billion, three hundred fifty-six million, six hundred fifty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 44 79 88 101 158 176 202 307 316 404 614 632 808 869 1111 1228 1264 1616 1738 2222 2456 3377 3476 4444 4912 6754 6952 7979 8888 13508 13904 15958 17776 24253 27016 31007 31916 48506 54032 61879 62014 63832 87769 97012 123758 124028 127664 175538 194024 247516 248056 266783 341077 351076 388048 495032 496112 533566 680669 682154 702152 990064 1067132 1361338 1364308 1404304 2134264 2449553 2722676 2728616 4268528 4888441 4899106 5445352 5457232 6249779 9776882 9798212 10890704 12499558 18996853 19553764 19596424 24999116 26945083 37993706 39107528 39192848 49998232 53772851 53890166 68747569 75987412 78215056 99996464 107545702 107780332 137495138 151974824 208965383 215091404 215560664 274990276 303949648 417930766 430182808 431121328 493732541 549980552 835861532 860365616 987465082 1099961104 1500751387 1671723064 1918682153 1974930164 3001502774 3343446128 3837364306 3949860328 5431057951 6003005548 7674728612 7899720656 10862115902 12006011096 15349457224 16508265257 21105503683 21724231804 24012022192 30698914448 33016530514 42211007366 43448463608 66033061028 84422014732 86896927216 132066122056 151575890087 168844029464 264132244112 303151780174 337688058928 606303560348 1212607120696 1667334790957 2425214241392 3334669581914 6669339163828 13338678327656 26677356655312