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1693433664 = 2632131391627
BaseRepresentation
bin110010011101111…
…1011111101000000
311101000111100021100
41210323323331000
511432004334124
6440012054400
756651643246
oct14473737500
94330440240
101693433664
1179999885a
123b3164400
1320caba870
14120c96796
159da081c9
hex64efbf40

1693433664 has 168 divisors, whose sum is σ = 5268142880. Its totient is φ = 516989952.

The previous prime is 1693433659. The next prime is 1693433669. The reversal of 1693433664 is 4663343961.

It is an interprime number because it is at equal distance from previous prime (1693433659) and next prime (1693433669).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1693433669) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1040019 + ... + 1041645.

Almost surely, 21693433664 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 1693433664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2634071440).

1693433664 is an abundant number, since it is smaller than the sum of its proper divisors (3574709216).

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

1693433664 is a wasteful number, since it uses less digits than its factorization.

1693433664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797 (or 1784 counting only the distinct ones).

The product of its digits is 839808, while the sum is 45.

The square root of 1693433664 is about 41151.3506947220. The cubic root of 1693433664 is about 1191.9445794992.

The spelling of 1693433664 in words is "one billion, six hundred ninety-three million, four hundred thirty-three thousand, six hundred sixty-four".