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1934705664 = 21032209929
BaseRepresentation
bin111001101010001…
…0100010000000000
311222211111020020100
41303110110100000
512430241040124
6515551242400
765641504203
oct16324242000
94884436210
101934705664
11903100001
1245bb19400
1324aa95668
14144d3d93a
15b4cb61c9
hex73514400

1934705664 has 66 divisors (see below), whose sum is σ = 5586447230. Its totient is φ = 644898816.

The previous prime is 1934705653. The next prime is 1934705671. The reversal of 1934705664 is 4665074391.

1934705664 is a `hidden beast` number, since 19 + 3 + 4 + 70 + 566 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1882865664 + 51840000 = 43392^2 + 7200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 95749 + ... + 114180.

Almost surely, 21934705664 is an apocalyptic number.

It is an amenable number.

1934705664 is an abundant number, since it is smaller than the sum of its proper divisors (3651741566).

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

1934705664 is a wasteful number, since it uses less digits than its factorization.

1934705664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209955 (or 209934 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The square root of 1934705664 is about 43985.2891771783. The cubic root of 1934705664 is about 1246.0581240110.

The spelling of 1934705664 in words is "one billion, nine hundred thirty-four million, seven hundred five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2304 3072 4608 9216 209929 419858 629787 839716 1259574 1679432 1889361 2519148 3358864 3778722 5038296 6717728 7557444 10076592 13435456 15114888 20153184 26870912 30229776 40306368 53741824 60459552 80612736 107483648 120919104 161225472 214967296 241838208 322450944 483676416 644901888 967352832 1934705664