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1665938816 = 2783233673
BaseRepresentation
bin110001101001100…
…0011010110000000
311022002202110102122
41203103003112000
511402440020231
6433150503412
756166150323
oct14323032600
94262673378
101665938816
11785419543
123a5b04b68
132071b1c19
1411b37a7ba
159b3c677b
hex634c3580

1665938816 has 64 divisors (see below), whose sum is σ = 3378276720. Its totient is φ = 818184192.

The previous prime is 1665938803. The next prime is 1665938831. The reversal of 1665938816 is 6188395661.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2475056 + ... + 2475728.

Almost surely, 21665938816 is an apocalyptic number.

1665938816 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 1665938816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689138360).

1665938816 is an abundant number, since it is smaller than the sum of its proper divisors (1712337904).

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

1665938816 is an equidigital number, since it uses as much as digits as its factorization.

1665938816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1003 (or 991 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 53.

The square root of 1665938816 is about 40815.9137592190. The cubic root of 1665938816 is about 1185.4584838888.

The spelling of 1665938816 in words is "one billion, six hundred sixty-five million, nine hundred thirty-eight thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 64 83 128 166 233 332 466 664 673 932 1328 1346 1864 2656 2692 3728 5312 5384 7456 10624 10768 14912 19339 21536 29824 38678 43072 55859 77356 86144 111718 154712 156809 223436 309424 313618 446872 618848 627236 893744 1237696 1254472 1787488 2475392 2508944 3574976 5017888 7149952 10035776 13015147 20071552 26030294 52060588 104121176 208242352 416484704 832969408 1665938816