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1363013856 = 2532231491381
BaseRepresentation
bin101000100111101…
…1111000011100000
310111222202021111200
41101033133003200
510242412420411
6343130041200
745530266221
oct12117370340
93458667450
101363013856
1163a427536
12320579200
131894cb999
14cd045248
157e9dae56
hex513df0e0

1363013856 has 144 divisors (see below), whose sum is σ = 4074688800. Its totient is φ = 431354880.

The previous prime is 1363013851. The next prime is 1363013857. The reversal of 1363013856 is 6583103631.

It is a happy number.

1363013856 is a `hidden beast` number, since 1 + 3 + 630 + 13 + 8 + 5 + 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 (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1363013856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1363013851) 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, 986286 + ... + 987666.

It is an arithmetic number, because the mean of its divisors is an integer number (28296450).

Almost surely, 21363013856 is an apocalyptic number.

1363013856 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 1363013856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2037344400).

1363013856 is an abundant number, since it is smaller than the sum of its proper divisors (2711674944).

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

1363013856 is a wasteful number, since it uses less digits than its factorization.

1363013856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1569 (or 1558 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The square root of 1363013856 is about 36919.0175383907. The cubic root of 1363013856 is about 1108.7494657853.

The spelling of 1363013856 in words is "one billion, three hundred sixty-three million, thirteen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 138 144 149 184 207 276 288 298 368 414 447 552 596 736 828 894 1104 1192 1341 1381 1656 1788 2208 2384 2682 2762 3312 3427 3576 4143 4768 5364 5524 6624 6854 7152 8286 10281 10728 11048 12429 13708 14304 16572 20562 21456 22096 24858 27416 30843 31763 33144 41124 42912 44192 49716 54832 61686 63526 66288 82248 95289 99432 109664 123372 127052 132576 164496 190578 198864 205769 246744 254104 285867 328992 381156 397728 411538 493488 508208 571734 617307 762312 823076 986976 1016416 1143468 1234614 1524624 1646152 1851921 2286936 2469228 3049248 3292304 3703842 4573872 4732687 4938456 6584608 7407684 9147744 9465374 9876912 14198061 14815368 18930748 19753824 28396122 29630736 37861496 42594183 56792244 59261472 75722992 85188366 113584488 151445984 170376732 227168976 340753464 454337952 681506928 1363013856