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2663383040 = 2225127
BaseRepresentation
bin1001111011000000…
…0000000000000000
320212121121212200022
42132300000000000
520423311224130
61120141313012
7123000245063
oct23660000000
96777555608
102663383040
11114745710a
12623b65768
13335a359c6
141b3a208da
15108c507e5
hex9ec00000

2663383040 has 92 divisors (see below), whose sum is σ = 6442450176. Its totient is φ = 1056964608.

The previous prime is 2663382991. The next prime is 2663383057. The reversal of 2663383040 is 403833662.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20971457 + ... + 20971583.

Almost surely, 22663383040 is an apocalyptic number.

2663383040 is a gapful number since it is divisible by the number (20) 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 2663383040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3221225088).

2663383040 is an abundant number, since it is smaller than the sum of its proper divisors (3779067136).

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

2663383040 is an frugal number, since it uses more digits than its factorization.

2663383040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 176 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 35.

The square root of 2663383040 is about 51607.9745775786. The cubic root of 2663383040 is about 1386.1531300250.

The spelling of 2663383040 in words is "two billion, six hundred sixty-three million, three hundred eighty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 127 128 160 254 256 320 508 512 635 640 1016 1024 1270 1280 2032 2048 2540 2560 4064 4096 5080 5120 8128 8192 10160 10240 16256 16384 20320 20480 32512 32768 40640 40960 65024 65536 81280 81920 130048 131072 162560 163840 260096 262144 325120 327680 520192 524288 650240 655360 1040384 1048576 1300480 1310720 2080768 2097152 2600960 2621440 4161536 4194304 5201920 5242880 8323072 10403840 10485760 16646144 20807680 20971520 33292288 41615360 66584576 83230720 133169152 166461440 266338304 332922880 532676608 665845760 1331691520 2663383040