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1663466560 = 2657742619
BaseRepresentation
bin110001100100110…
…0111110001000000
311021221002212010121
41203021213301000
511401321412220
6433021510024
756136142510
oct14311476100
94257085117
101663466560
11783a90058
123a5112314
13206827852
1411acd5840
159b088eaa
hex63267c40

1663466560 has 56 divisors (see below), whose sum is σ = 4527011520. Its totient is φ = 570330624.

The previous prime is 1663466557. The next prime is 1663466561. The reversal of 1663466560 is 656643661.

It is a tau number, because it is divible by the number of its divisors (56).

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1663466561) 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 7 ways as a sum of consecutive naturals, for example, 369070 + ... + 373549.

Almost surely, 21663466560 is an apocalyptic number.

1663466560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1663466560 is an abundant number, since it is smaller than the sum of its proper divisors (2863544960).

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

1663466560 is an equidigital number, since it uses as much as digits as its factorization.

1663466560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 742643 (or 742633 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 43.

The square root of 1663466560 is about 40785.6170726887. The cubic root of 1663466560 is about 1184.8717861127.

The spelling of 1663466560 in words is "one billion, six hundred sixty-three million, four hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 742619 1485238 2970476 3713095 5198333 5940952 7426190 10396666 11881904 14852380 20793332 23763808 25991665 29704760 41586664 47527616 51983330 59409520 83173328 103966660 118819040 166346656 207933320 237638080 332693312 415866640 831733280 1663466560