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1691119872 = 283213131431
BaseRepresentation
bin110010011001100…
…0111000100000000
311100212010210100100
41210303013010000
511430411313442
6435450322400
756623165431
oct14463070400
94325123310
101691119872
11798658432
123b2429400
1320c48a660
14120853488
159d6ec84c
hex64cc7100

1691119872 has 216 divisors, whose sum is σ = 5303346048. Its totient is φ = 515174400.

The previous prime is 1691119841. The next prime is 1691119901. The reversal of 1691119872 is 2789111961.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3923497 + ... + 3923927.

It is an arithmetic number, because the mean of its divisors is an integer number (24552528).

Almost surely, 21691119872 is an apocalyptic number.

1691119872 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 1691119872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2651673024).

1691119872 is an abundant number, since it is smaller than the sum of its proper divisors (3612226176).

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

1691119872 is a wasteful number, since it uses less digits than its factorization.

1691119872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 597 (or 580 counting only the distinct ones).

The product of its digits is 54432, while the sum is 45.

The square root of 1691119872 is about 41123.2278888708. The cubic root of 1691119872 is about 1191.4014682022.

The spelling of 1691119872 in words is "one billion, six hundred ninety-one million, one hundred nineteen thousand, eight hundred seventy-two".