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693536768 = 211397853
BaseRepresentation
bin101001010101101…
…000100000000000
31210100000022120222
4221111220200000
52410021134033
6152452522212
723120652041
oct5125504000
91710008528
10693536768
11326535491
12174320368
13b08b85b2
14681748c8
1540d47598
hex29568800

693536768 has 48 divisors (see below), whose sum is σ = 1391857740. Its totient is φ = 345489408.

The previous prime is 693536749. The next prime is 693536863. The reversal of 693536768 is 867635396.

It can be written as a sum of positive squares in 2 ways, for example, as 670188544 + 23348224 = 25888^2 + 4832^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 812630 + ... + 813482.

Almost surely, 2693536768 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 693536768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (695928870).

693536768 is an abundant number, since it is smaller than the sum of its proper divisors (698320972).

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

693536768 is an equidigital number, since it uses as much as digits as its factorization.

693536768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1272 (or 1252 counting only the distinct ones).

The product of its digits is 4898880, while the sum is 53.

The square root of 693536768 is about 26335.0862538933. The cubic root of 693536768 is about 885.1628193734.

The spelling of 693536768 in words is "six hundred ninety-three million, five hundred thirty-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 128 256 397 512 794 853 1024 1588 1706 2048 3176 3412 6352 6824 12704 13648 25408 27296 50816 54592 101632 109184 203264 218368 338641 406528 436736 677282 813056 873472 1354564 1746944 2709128 5418256 10836512 21673024 43346048 86692096 173384192 346768384 693536768