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1363974768 = 243313242873
BaseRepresentation
bin101000101001100…
…1001101001110000
310112001120002122000
41101103021221300
510243134143033
6343202414000
745541410552
oct12123115160
93461502560
101363974768
1163aa23482
12320961300
13189777180
14cd2154d2
157eb2aa13
hex514c9a70

1363974768 has 80 divisors (see below), whose sum is σ = 4216292640. Its totient is φ = 419682816.

The previous prime is 1363974767. The next prime is 1363974791. The reversal of 1363974768 is 8674793631.

1363974768 is a `hidden beast` number, since 136 + 39 + 7 + 476 + 8 = 666.

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 (1363974767) 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 15 ways as a sum of consecutive naturals, for example, 115821 + ... + 127052.

It is an arithmetic number, because the mean of its divisors is an integer number (52703658).

Almost surely, 21363974768 is an apocalyptic number.

1363974768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1363974768 is an abundant number, since it is smaller than the sum of its proper divisors (2852317872).

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

1363974768 is a wasteful number, since it uses less digits than its factorization.

1363974768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242903 (or 242891 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The square root of 1363974768 is about 36932.0290263072. The cubic root of 1363974768 is about 1109.0099572425.

The spelling of 1363974768 in words is "one billion, three hundred sixty-three million, nine hundred seventy-four thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 432 468 624 702 936 1404 1872 2808 5616 242873 485746 728619 971492 1457238 1942984 2185857 2914476 3157349 3885968 4371714 5828952 6314698 6557571 8743428 9472047 11657904 12629396 13115142 17486856 18944094 25258792 26230284 28416141 34973712 37888188 50517584 52460568 56832282 75776376 85248423 104921136 113664564 151552752 170496846 227329128 340993692 454658256 681987384 1363974768