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693808128 = 21032135791
BaseRepresentation
bin101001010110101…
…010110000000000
31210100112002211100
4221112222300000
52410103330003
6152502414400
723123162136
oct5126526000
91710462740
10693808128
11326700352
12174431400
13b0981c70
1468205756
1540d9cba3
hex295aac00

693808128 has 132 divisors (see below), whose sum is σ = 2157832768. Its totient is φ = 213442560.

The previous prime is 693808079. The next prime is 693808163. The reversal of 693808128 is 821808396.

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, 116913 + ... + 122703.

Almost surely, 2693808128 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 693808128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1078916384).

693808128 is an abundant number, since it is smaller than the sum of its proper divisors (1464024640).

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

693808128 is a wasteful number, since it uses less digits than its factorization.

693808128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5830 (or 5809 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 693808128 is about 26340.2378121383. The cubic root of 693808128 is about 885.2782501495.

The spelling of 693808128 in words is "six hundred ninety-three million, eight hundred eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2304 2496 3072 3328 3744 4608 4992 5791 6656 7488 9216 9984 11582 13312 14976 17373 19968 23164 29952 34746 39936 46328 52119 59904 69492 75283 92656 104238 119808 138984 150566 185312 208476 225849 277968 301132 370624 416952 451698 555936 602264 677547 741248 833904 903396 1111872 1204528 1355094 1482496 1667808 1806792 2223744 2409056 2710188 2964992 3335616 3613584 4447488 4818112 5420376 5929984 6671232 7227168 8894976 9636224 10840752 13342464 14454336 17789952 19272448 21681504 26684928 28908672 38544896 43363008 53369856 57817344 77089792 86726016 115634688 173452032 231269376 346904064 693808128