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368838416401 = 71323176224757
BaseRepresentation
bin1010101111000000111…
…10111001100000010001
31022021000222112220110221
411113200132321200101
522020340113311101
6441235251153041
735435105545030
oct5274036714021
91267028486427
10368838416401
11132472741424
125b5972a5781
1328a20712890
1413bcd788717
1598dad21aa1
hex55e07b9811

368838416401 has 16 divisors (see below), whose sum is σ = 473692149504. Its totient is φ = 279140013504.

The previous prime is 368838416377. The next prime is 368838416411. The reversal of 368838416401 is 104614838863.

It is a cyclic number.

It is not a de Polignac number, because 368838416401 - 27 = 368838416273 is a prime.

It is not an unprimeable number, because it can be changed into a prime (368838416411) 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, 88110286 + ... + 88114471.

It is an arithmetic number, because the mean of its divisors is an integer number (29605759344).

Almost surely, 2368838416401 is an apocalyptic number.

It is an amenable number.

368838416401 is a deficient number, since it is larger than the sum of its proper divisors (104853733103).

368838416401 is a wasteful number, since it uses less digits than its factorization.

368838416401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176224800.

The product of its (nonzero) digits is 2654208, while the sum is 52.

The spelling of 368838416401 in words is "three hundred sixty-eight billion, eight hundred thirty-eight million, four hundred sixteen thousand, four hundred one".

Divisors: 1 7 13 23 91 161 299 2093 176224757 1233573299 2290921841 4053169411 16036452887 28372185877 52691202343 368838416401