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1693468128 = 253111603663
BaseRepresentation
bin110010011110000…
…0100010111100000
311101000120002112210
41210330010113200
511432011440003
6440012522120
756652145602
oct14474042740
94330502483
101693468128
11799a11740
123b3180340
1320cb00461
14120ca5172
159da13503
hex64f045e0

1693468128 has 48 divisors (see below), whose sum is σ = 4849479936. Its totient is φ = 513171840.

The previous prime is 1693468121. The next prime is 1693468129. The reversal of 1693468128 is 8218643961.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1693468121) 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 7 ways as a sum of consecutive naturals, for example, 800776 + ... + 802887.

It is an arithmetic number, because the mean of its divisors is an integer number (101030832).

Almost surely, 21693468128 is an apocalyptic number.

It is an amenable number.

1693468128 is an abundant number, since it is smaller than the sum of its proper divisors (3156011808).

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

1693468128 is a wasteful number, since it uses less digits than its factorization.

1693468128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1603687 (or 1603679 counting only the distinct ones).

The product of its digits is 497664, while the sum is 48.

The square root of 1693468128 is about 41151.7694394785. The cubic root of 1693468128 is about 1191.9526654176.

The spelling of 1693468128 in words is "one billion, six hundred ninety-three million, four hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 132 176 264 352 528 1056 1603663 3207326 4810989 6414652 9621978 12829304 17640293 19243956 25658608 35280586 38487912 51317216 52920879 70561172 76975824 105841758 141122344 153951648 211683516 282244688 423367032 564489376 846734064 1693468128