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1686998016 = 2103411432
BaseRepresentation
bin110010010001101…
…1000110000000000
311100120101101020000
41210203120300000
511423332414031
6435222120000
756543150364
oct14443306000
94316341200
101686998016
117962a2640
123b0b80000
1320b6764a2
1412009d2a4
159d1863e6
hex648d8c00

1686998016 has 330 divisors, whose sum is σ = 5626457892. Its totient is φ = 499322880.

The previous prime is 1686997993. The next prime is 1686998029. The reversal of 1686998016 is 6108996861.

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

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 39232491 + ... + 39232533.

Almost surely, 21686998016 is an apocalyptic number.

1686998016 is a gapful number since it is divisible by the number (16) 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 1686998016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813228946).

1686998016 is an abundant number, since it is smaller than the sum of its proper divisors (3939459876).

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

1686998016 is an equidigital number, since it uses as much as digits as its factorization.

1686998016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 54.

The square root of 1686998016 is about 41073.0814037613. The cubic root of 1686998016 is about 1190.4327254271.

It can be divided in two parts, 168699 and 8016, that added together give a triangular number (176715 = T594).

The spelling of 1686998016 in words is "one billion, six hundred eighty-six million, nine hundred ninety-eight thousand, sixteen".