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1663649520 = 243513241017
BaseRepresentation
bin110001100101001…
…0100011011110000
311021221110011002220
41203022110123300
511401343241040
6433025441040
756140534101
oct14312243360
94257404086
101663649520
117840a5565
123a51a0180
1320688cc00
1411ad423a8
159b0c32d0
hex632946f0

1663649520 has 120 divisors (see below), whose sum is σ = 5584682736. Its totient is φ = 409503744.

The previous prime is 1663649509. The next prime is 1663649521. The reversal of 1663649520 is 259463661.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1663649521) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20052 + ... + 61068.

Almost surely, 21663649520 is an apocalyptic number.

1663649520 is a gapful number since it is divisible by the number (10) 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 1663649520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2792341368).

1663649520 is an abundant number, since it is smaller than the sum of its proper divisors (3921033216).

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

1663649520 is a wasteful number, since it uses less digits than its factorization.

1663649520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41059 (or 41040 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 1663649520 is about 40787.8599585710. The cubic root of 1663649520 is about 1184.9152247566.

The spelling of 1663649520 in words is "one billion, six hundred sixty-three million, six hundred forty-nine thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 169 195 208 240 260 312 338 390 507 520 624 676 780 845 1014 1040 1352 1560 1690 2028 2535 2704 3120 3380 4056 5070 6760 8112 10140 13520 20280 40560 41017 82034 123051 164068 205085 246102 328136 410170 492204 533221 615255 656272 820340 984408 1066442 1230510 1599663 1640680 1968816 2132884 2461020 2666105 3199326 3281360 4265768 4922040 5332210 6398652 6931873 7998315 8531536 9844080 10664420 12797304 13863746 15996630 20795619 21328840 25594608 27727492 31993260 34659365 41591238 42657680 55454984 63986520 69318730 83182476 103978095 110909968 127973040 138637460 166364952 207956190 277274920 332729904 415912380 554549840 831824760 1663649520