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1663554960 = 243252310493
BaseRepresentation
bin110001100100111…
…1101010110010000
311021221021100101200
41203021331112100
511401332224320
6433023431200
756136661314
oct14311752620
94257240350
101663554960
11784040511
123a5155500
13206858b62
1411ad19b44
159b0a5290
hex6327d590

1663554960 has 60 divisors (see below), whose sum is σ = 5586774492. Its totient is φ = 443614464.

The previous prime is 1663554931. The next prime is 1663554961. The reversal of 1663554960 is 694553661.

1663554960 is a `hidden beast` number, since 1 + 6 + 6 + 3 + 554 + 96 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 926106624 + 737448336 = 30432^2 + 27156^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1663554961) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1154527 + ... + 1155966.

Almost surely, 21663554960 is an apocalyptic number.

1663554960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1663554960 is an abundant number, since it is smaller than the sum of its proper divisors (3923219532).

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

1663554960 is a wasteful number, since it uses less digits than its factorization.

1663554960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2310512 (or 2310503 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The square root of 1663554960 is about 40786.7007736591. The cubic root of 1663554960 is about 1184.8927745740.

The spelling of 1663554960 in words is "one billion, six hundred sixty-three million, five hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 2310493 4620986 6931479 9241972 11552465 13862958 18483944 20794437 23104930 27725916 34657395 36967888 41588874 46209860 55451832 69314790 83177748 92419720 103972185 110903664 138629580 166355496 184839440 207944370 277259160 332710992 415888740 554518320 831777480 1663554960