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1663755552 = 2534641881
BaseRepresentation
bin110001100101010…
…1110010100100000
311021221122112120000
41203022232110200
511401410134202
6433032020000
756141455164
oct14312562440
94257575500
101663755552
11784168198
123a5231600
132068c9254
1411ad6cca4
159b0e491c
hex632ae520

1663755552 has 60 divisors (see below), whose sum is σ = 4893066486. Its totient is φ = 554584320.

The previous prime is 1663755517. The next prime is 1663755559. The reversal of 1663755552 is 2555573661.

1663755552 is a `hidden beast` number, since 1 + 6 + 637 + 5 + 5 + 5 + 5 + 2 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1167178896 + 496576656 = 34164^2 + 22284^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1663755498 and 1663755507.

It is not an unprimeable number, because it can be changed into a prime (1663755559) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 318349 + ... + 323532.

Almost surely, 21663755552 is an apocalyptic number.

1663755552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1663755552 is an abundant number, since it is smaller than the sum of its proper divisors (3229310934).

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

1663755552 is an equidigital number, since it uses as much as digits as its factorization.

1663755552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 641903 (or 641886 counting only the distinct ones).

The product of its digits is 945000, while the sum is 45.

The square root of 1663755552 is about 40789.1597363809. The cubic root of 1663755552 is about 1184.9403975790.

The spelling of 1663755552 in words is "one billion, six hundred sixty-three million, seven hundred fifty-five thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 641881 1283762 1925643 2567524 3851286 5135048 5776929 7702572 10270096 11553858 15405144 17330787 20540192 23107716 30810288 34661574 46215432 51992361 61620576 69323148 92430864 103984722 138646296 184861728 207969444 277292592 415938888 554585184 831877776 1663755552