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1369147968 = 26332573083
BaseRepresentation
bin101000110011011…
…1000101001000000
310112102021220221000
41101212320221000
510301000213333
6343505332000
745633365016
oct12146705100
93472256830
101369147968
11642937151
12322637000
1318a868a36
14cdba08b6
15802ed713
hex519b8a40

1369147968 has 112 divisors (see below), whose sum is σ = 4042013760. Its totient is φ = 454459392.

The previous prime is 1369147957. The next prime is 1369147987. The reversal of 1369147968 is 8697419631.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 442555 + ... + 445637.

Almost surely, 21369147968 is an apocalyptic number.

1369147968 is a gapful number since it is divisible by the number (18) 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 1369147968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2021006880).

1369147968 is an abundant number, since it is smaller than the sum of its proper divisors (2672865792).

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

1369147968 is a wasteful number, since it uses less digits than its factorization.

1369147968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3361 (or 3345 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 54.

The square root of 1369147968 is about 37001.9995135398. Note that the first 3 decimals coincide. The cubic root of 1369147968 is about 1110.4102501082.

The spelling of 1369147968 in words is "one billion, three hundred sixty-nine million, one hundred forty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 257 288 432 514 576 771 864 1028 1542 1728 2056 2313 3083 3084 4112 4626 6166 6168 6939 8224 9249 9252 12332 12336 13878 16448 18498 18504 24664 24672 27747 27756 36996 37008 49328 49344 55494 55512 73992 74016 83241 98656 110988 111024 147984 148032 166482 197312 221976 222048 295968 332964 443952 444096 591936 665928 792331 887904 1331856 1584662 1775808 2376993 2663712 3169324 4753986 5327424 6338648 7130979 9507972 12677296 14261958 19015944 21392937 25354592 28523916 38031888 42785874 50709184 57047832 76063776 85571748 114095664 152127552 171143496 228191328 342286992 456382656 684573984 1369147968