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1690116912 = 2432112322017
BaseRepresentation
bin110010010111101…
…0010001100110000
311100210020211112200
41210233102030300
511430132220122
6435413023200
756611520361
oct14457221460
94323224480
101690116912
11798032940
123b2024b00
1320c1c8ca3
14120671b68
159d5a05ac
hex64bd2330

1690116912 has 180 divisors, whose sum is σ = 5396753544. Its totient is φ = 489646080.

The previous prime is 1690116893. The next prime is 1690116917. The reversal of 1690116912 is 2196110961.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1690116917) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 836928 + ... + 838944.

Almost surely, 21690116912 is an apocalyptic number.

1690116912 is a gapful number since it is divisible by the number (12) 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 1690116912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2698376772).

1690116912 is an abundant number, since it is smaller than the sum of its proper divisors (3706636632).

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

1690116912 is a wasteful number, since it uses less digits than its factorization.

1690116912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2088 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 1690116912 is about 41111.0315122353. The cubic root of 1690116912 is about 1191.1658916983.

The spelling of 1690116912 in words is "one billion, six hundred ninety million, one hundred sixteen thousand, nine hundred twelve".