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769222656 = 211344637
BaseRepresentation
bin101101110110010…
…110100000000000
31222121102120010000
4231312112200000
53033410111111
6204155040000
725030166436
oct5566264000
91877376100
10769222656
1136522a404
12195740000
13c3498147
1474236d56
15477e7c56
hex2dd96800

769222656 has 120 divisors (see below), whose sum is σ = 2298105810. Its totient is φ = 256352256.

The previous prime is 769222631. The next prime is 769222673. The reversal of 769222656 is 656222967.

It can be written as a sum of positive squares in only one way, i.e., 717382656 + 51840000 = 26784^2 + 7200^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 163570 + ... + 168206.

Almost surely, 2769222656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 769222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1149052905).

769222656 is an abundant number, since it is smaller than the sum of its proper divisors (1528883154).

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

769222656 is an equidigital number, since it uses as much as digits as its factorization.

769222656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4642 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 769222656 is about 27734.8635475280. The cubic root of 769222656 is about 916.2571057359.

The spelling of 769222656 in words is "seven hundred sixty-nine million, two hundred twenty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 4608 4637 5184 6144 6912 9216 9274 10368 13824 13911 18432 18548 20736 27648 27822 37096 41472 41733 55296 55644 74192 82944 83466 111288 125199 148384 165888 166932 222576 250398 296768 333864 375597 445152 500796 593536 667728 751194 890304 1001592 1187072 1335456 1502388 1780608 2003184 2374144 2670912 3004776 3561216 4006368 4748288 5341824 6009552 7122432 8012736 9496576 10683648 12019104 14244864 16025472 21367296 24038208 28489728 32050944 42734592 48076416 64101888 85469184 96152832 128203776 192305664 256407552 384611328 769222656