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1368608256 = 29321717471
BaseRepresentation
bin101000110010011…
…0100111000000000
310112101021111120200
41101210310320000
510300330431011
6343450005200
745625656351
oct12144647000
93471244520
101368608256
116425a8704
12322416800
1318a70a192
14cda9dd28
1580243856
hex51934e00

1368608256 has 120 divisors (see below), whose sum is σ = 4182482304. Its totient is φ = 429342720.

The previous prime is 1368608233. The next prime is 1368608299. The reversal of 1368608256 is 6528068631.

1368608256 is a `hidden beast` number, since 1 + 36 + 8 + 608 + 2 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 69601 + ... + 87071.

Almost surely, 21368608256 is an apocalyptic number.

1368608256 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 1368608256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2091241152).

1368608256 is an abundant number, since it is smaller than the sum of its proper divisors (2813874048).

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

1368608256 is a wasteful number, since it uses less digits than its factorization.

1368608256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17512 (or 17493 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 1368608256 is about 36994.7057833955. The cubic root of 1368608256 is about 1110.2643246822.

The spelling of 1368608256 in words is "one billion, three hundred sixty-eight million, six hundred eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8704 9792 13056 17471 19584 26112 34942 39168 52413 69884 78336 104826 139768 157239 209652 279536 297007 314478 419304 559072 594014 628956 838608 891021 1118144 1188028 1257912 1677216 1782042 2236288 2376056 2515824 2673063 3354432 3564084 4472576 4752112 5031648 5346126 6708864 7128168 8945152 9504224 10063296 10692252 13417728 14256336 19008448 20126592 21384504 26835456 28512672 38016896 40253184 42769008 57025344 76033792 80506368 85538016 114050688 152067584 171076032 228101376 342152064 456202752 684304128 1368608256