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1693896768 = 26322940793
BaseRepresentation
bin110010011110110…
…1101000001000000
311101001100212112100
41210331231001000
511432114144033
6440030030400
756655612354
oct14475550100
94331325470
101693896768
1179a184793
123b3348400
1320cc205a5
14120d77464
159da9a513
hex64f6d040

1693896768 has 42 divisors (see below), whose sum is σ = 4855250894. Its totient is φ = 564632064.

The previous prime is 1693896767. The next prime is 1693896769. The reversal of 1693896768 is 8676983961.

It is an interprime number because it is at equal distance from previous prime (1693896767) and next prime (1693896769).

It can be written as a sum of positive squares in only one way, i.e., 868598784 + 825297984 = 29472^2 + 28728^2 .

It is not an unprimeable number, because it can be changed into a prime (1693896767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1469821 + ... + 1470972.

Almost surely, 21693896768 is an apocalyptic number.

1693896768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1693896768 is an abundant number, since it is smaller than the sum of its proper divisors (3161354126).

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

1693896768 is a wasteful number, since it uses less digits than its factorization.

1693896768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2940811 (or 2940798 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 63.

The square root of 1693896768 is about 41156.9771484739. The cubic root of 1693896768 is about 1192.0532234542.

The spelling of 1693896768 in words is "one billion, six hundred ninety-three million, eight hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 2940793 5881586 8822379 11763172 17644758 23526344 26467137 35289516 47052688 52934274 70579032 94105376 105868548 141158064 188210752 211737096 282316128 423474192 564632256 846948384 1693896768