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1693986048 = 283629313
BaseRepresentation
bin110010011111000…
…0010110100000000
311101001112102000000
41210332002310000
511432130023143
6440032000000
756656433556
oct14476026400
94331472000
101693986048
1179a235877
123b3390000
1320cc52111
14120d9bbd6
159dab6bd3
hex64f82d00

1693986048 has 252 divisors, whose sum is σ = 5261286660. Its totient is φ = 543449088.

The previous prime is 1693986037. The next prime is 1693986109. The reversal of 1693986048 is 8406893961.

It can be written as a sum of positive squares in 2 ways, for example, as 313714944 + 1380271104 = 17712^2 + 37152^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1693985985 and 1693986003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5411940 + ... + 5412252.

Almost surely, 21693986048 is an apocalyptic number.

1693986048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1693986048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2630643330).

1693986048 is an abundant number, since it is smaller than the sum of its proper divisors (3567300612).

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

1693986048 is an frugal number, since it uses more digits than its factorization.

1693986048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 347 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 1693986048 is about 41158.0617619440. The cubic root of 1693986048 is about 1192.0741662184.

The spelling of 1693986048 in words is "one billion, six hundred ninety-three million, nine hundred eighty-six thousand, forty-eight".