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1363643456 = 26719715451
BaseRepresentation
bin101000101000111…
…1000110001000000
310112000221021011012
41101101320301000
510243043042311
6343151340052
745535530620
oct12121706100
93460837135
101363643456
1163a81756a
12320821628
1318968c426
14cd16a880
157eab278b
hex51478c40

1363643456 has 56 divisors (see below), whose sum is σ = 3108447936. Its totient is φ = 581414400.

The previous prime is 1363643453. The next prime is 1363643467. The reversal of 1363643456 is 6543463631.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (1363643453) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 80531 + ... + 95981.

Almost surely, 21363643456 is an apocalyptic number.

1363643456 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 1363643456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554223968).

1363643456 is an abundant number, since it is smaller than the sum of its proper divisors (1744804480).

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

1363643456 is a wasteful number, since it uses less digits than its factorization.

1363643456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15667 (or 15657 counting only the distinct ones).

The product of its digits is 466560, while the sum is 41.

The square root of 1363643456 is about 36927.5433247326. The cubic root of 1363643456 is about 1108.9201564463.

The spelling of 1363643456 in words is "one billion, three hundred sixty-three million, six hundred forty-three thousand, four hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 197 224 394 448 788 1379 1576 2758 3152 5516 6304 11032 12608 15451 22064 30902 44128 61804 88256 108157 123608 216314 247216 432628 494432 865256 988864 1730512 3043847 3461024 6087694 6922048 12175388 21306929 24350776 42613858 48701552 85227716 97403104 170455432 194806208 340910864 681821728 1363643456