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368514228064 = 25314186310499
BaseRepresentation
bin1010101110011010010…
…10001101111101100000
31022020012101112102200111
411113031022031331200
522014204120244224
6441143150501104
735424061153363
oct5271512157540
91266171472614
10368514228064
11132316746984
125b506804794
132899b4c6168
1413b9c6ba0da
1598bc635d94
hex55cd28df60

368514228064 has 96 divisors (see below), whose sum is σ = 768144384000. Its totient is φ = 173746099200.

The previous prime is 368514228059. The next prime is 368514228077. The reversal of 368514228064 is 460822415863.

It is a junction number, because it is equal to n+sod(n) for n = 368514227999 and 368514228017.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35094687 + ... + 35105185.

It is an arithmetic number, because the mean of its divisors is an integer number (8001504000).

Almost surely, 2368514228064 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 368514228064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (384072192000).

368514228064 is an abundant number, since it is smaller than the sum of its proper divisors (399630155936).

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

368514228064 is a wasteful number, since it uses less digits than its factorization.

368514228064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 11436 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 49.

The spelling of 368514228064 in words is "three hundred sixty-eight billion, five hundred fourteen million, two hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 8 16 31 32 41 62 82 124 164 248 328 496 656 863 992 1271 1312 1726 2542 3452 5084 6904 10168 10499 13808 20336 20998 26753 27616 35383 40672 41996 53506 70766 83992 107012 141532 167984 214024 283064 325469 335968 428048 430459 566128 650938 856096 860918 1096873 1132256 1301876 1721836 2193746 2603752 3443672 4387492 5207504 6887344 8774984 9060637 10415008 13344229 13774688 17549968 18121274 26688458 35099936 36242548 53376916 72485096 106753832 144970192 213507664 280879747 289940384 371486117 427015328 561759494 742972234 1123518988 1485944468 2247037976 2971888936 4494075952 5943777872 8988151904 11516069627 11887555744 23032139254 46064278508 92128557016 184257114032 368514228064