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368437690368 = 216331123823
BaseRepresentation
bin1010101110010001001…
…10010000000000000000
31022020000001111220201000
411113020212100000000
522014030022042433
6441131414212000
735422141460406
oct5271046200000
91266001456630
10368437690368
1113228751aa90
125b4a5054000
13289886a8997
1413b92475476
1598b5a68113
hex55c8990000

368437690368 has 544 divisors, whose sum is σ = 1244188846080. Its totient is φ = 106663772160.

The previous prime is 368437690367. The next prime is 368437690399. The reversal of 368437690368 is 863096734863.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (368437690367) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 447676005 + ... + 447676827.

Almost surely, 2368437690368 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 368437690368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (622094423040).

368437690368 is an abundant number, since it is smaller than the sum of its proper divisors (875751155712).

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

368437690368 is an equidigital number, since it uses as much as digits as its factorization.

368437690368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 368437690368 in words is "three hundred sixty-eight billion, four hundred thirty-seven million, six hundred ninety thousand, three hundred sixty-eight".