Search a number
-
+
6355755356656 = 241973733390721
BaseRepresentation
bin101110001111101000010…
…0010100101000111110000
3211111121022112000011100211
41130133100202211013300
51313113041332403111
621303443234553504
71224121354102666
oct134372042450760
924447275004324
106355755356656
112030508228402
12867955738894
1337146440b9b4
1417d897b8ac36
15b04db3ec521
hex5c7d08a51f0

6355755356656 has 80 divisors (see below), whose sum is σ = 13157922814240. Its totient is φ = 2965320990720.

The previous prime is 6355755356651. The next prime is 6355755356707. The reversal of 6355755356656 is 6566535575536.

It is a super-2 number, since 2×63557553566562 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 6355755356591 and 6355755356600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6355755356651) 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, 16071376 + ... + 16462096.

It is an arithmetic number, because the mean of its divisors is an integer number (164474035178).

Almost surely, 26355755356656 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 6355755356656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6578961407120).

6355755356656 is an abundant number, since it is smaller than the sum of its proper divisors (6802167457584).

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

6355755356656 is a wasteful number, since it uses less digits than its factorization.

6355755356656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 391554 (or 391548 counting only the distinct ones).

The product of its digits is 1275750000, while the sum is 67.

The spelling of 6355755356656 in words is "six trillion, three hundred fifty-five billion, seven hundred fifty-five million, three hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 19 38 73 76 146 152 292 304 584 733 1168 1387 1466 2774 2932 5548 5864 11096 11728 13927 22192 27854 53509 55708 107018 111416 214036 222832 390721 428072 781442 856144 1016671 1562884 2033342 3125768 4066684 6251536 7423699 8133368 14847398 16266736 28522633 29694796 57045266 59389592 114090532 118779184 228181064 286398493 456362128 541930027 572796986 1083860054 1145593972 2167720108 2291187944 4335440216 4582375888 5441571367 8670880432 10883142734 20907089989 21766285468 41814179978 43532570936 83628359956 87065141872 167256719912 334513439824 397234709791 794469419582 1588938839164 3177877678328 6355755356656