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1768697856 = 212351777
BaseRepresentation
bin110100101101100…
…0011000000000000
311120021010011100000
41221123003000000
512110241312411
6451301200000
761554453342
oct15133030000
94507104300
101768697856
11828424972
12414400000
132225804a3
1412ac89292
15a5423956
hex696c3000

1768697856 has 156 divisors (see below), whose sum is σ = 5301149672. Its totient is φ = 589234176.

The previous prime is 1768697831. The next prime is 1768697857. The reversal of 1768697856 is 6587968671.

It is a junction number, because it is equal to n+sod(n) for n = 1768697793 and 1768697802.

It is not an unprimeable number, because it can be changed into a prime (1768697857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 994440 + ... + 996216.

Almost surely, 21768697856 is an apocalyptic number.

1768697856 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 1768697856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2650574836).

1768697856 is an abundant number, since it is smaller than the sum of its proper divisors (3532451816).

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

1768697856 is an frugal number, since it uses more digits than its factorization.

1768697856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1816 (or 1782 counting only the distinct ones).

The product of its digits is 30481920, while the sum is 63.

The square root of 1768697856 is about 42055.8896707703. The cubic root of 1768697856 is about 1209.3477932225.

The spelling of 1768697856 in words is "one billion, seven hundred sixty-eight million, six hundred ninety-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1777 1944 2048 2304 2592 3072 3456 3554 3888 4096 4608 5184 5331 6144 6912 7108 7776 9216 10368 10662 12288 13824 14216 15552 15993 18432 20736 21324 27648 28432 31104 31986 36864 41472 42648 47979 55296 56864 62208 63972 82944 85296 95958 110592 113728 124416 127944 143937 165888 170592 191916 227456 248832 255888 287874 331776 341184 383832 431811 454912 497664 511776 575748 682368 767664 863622 909824 995328 1023552 1151496 1364736 1535328 1727244 1819648 2047104 2302992 2729472 3070656 3454488 3639296 4094208 4605984 5458944 6141312 6908976 7278592 8188416 9211968 10917888 12282624 13817952 16376832 18423936 21835776 24565248 27635904 32753664 36847872 49130496 55271808 65507328 73695744 98260992 110543616 147391488 196521984 221087232 294782976 442174464 589565952 884348928 1768697856