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1363965696 = 2833414813
BaseRepresentation
bin101000101001100…
…0111011100000000
310112001112122012000
41101103013130000
510243133400241
6343202304000
745541342242
oct12123073400
93461478160
101363965696
1163aa17685
12320958000
13189772cc2
14cd212092
157eb27eb6
hex514c7700

1363965696 has 144 divisors (see below), whose sum is σ = 4132722720. Its totient is φ = 443473920.

The previous prime is 1363965661. The next prime is 1363965697. The reversal of 1363965696 is 6965693631.

1363965696 is a `hidden beast` number, since 13 + 63 + 9 + 6 + 569 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363965697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280986 + ... + 285798.

Almost surely, 21363965696 is an apocalyptic number.

1363965696 is a gapful number since it is divisible by the number (16) 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 1363965696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2066361360).

1363965696 is an abundant number, since it is smaller than the sum of its proper divisors (2768757024).

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

1363965696 is an equidigital number, since it uses as much as digits as its factorization.

1363965696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4879 (or 4859 counting only the distinct ones).

The product of its digits is 4723920, while the sum is 54.

The square root of 1363965696 is about 36931.9062058811. The cubic root of 1363965696 is about 1109.0074985067.

The spelling of 1363965696 in words is "one billion, three hundred sixty-three million, nine hundred sixty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 41 48 54 64 72 82 96 108 123 128 144 164 192 216 246 256 288 328 369 384 432 492 576 656 738 768 864 984 1107 1152 1312 1476 1728 1968 2214 2304 2624 2952 3456 3936 4428 4813 5248 5904 6912 7872 8856 9626 10496 11808 14439 15744 17712 19252 23616 28878 31488 35424 38504 43317 47232 57756 70848 77008 86634 94464 115512 129951 141696 154016 173268 197333 231024 259902 283392 308032 346536 394666 462048 519804 591999 616064 693072 789332 924096 1039608 1183998 1232128 1386144 1578664 1775997 1848192 2079216 2367996 2772288 3157328 3551994 3696384 4158432 4735992 5327991 5544576 6314656 7103988 8316864 9471984 10655982 11089152 12629312 14207976 16633728 18943968 21311964 25258624 28415952 33267456 37887936 42623928 50517248 56831904 75775872 85247856 113663808 151551744 170495712 227327616 340991424 454655232 681982848 1363965696