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682652707984 = 24132158892
BaseRepresentation
bin10011110111100010100…
…01011010110010010000
32102021001020111122202001
421323301101122302100
542141033043123414
61241334544403344
7100214525164102
oct11736121326220
92367036448661
10682652707984
11243569725425
12b0377016554
134c4b252b100
142507d461572
1512b5617e074
hex9ef145ac90

682652707984 has 45 divisors (see below), whose sum is σ = 1432297545003. Its totient is φ = 315050651136.

The previous prime is 682652707973. The next prime is 682652708107. The reversal of 682652707984 is 489707256286.

The square root of 682652707984 is 826228.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 275772019600 + 406880688384 = 525140^2 + 637872^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42955912 + ... + 42971800.

Almost surely, 2682652707984 is an apocalyptic number.

682652707984 is the 826228-th square number.

It is an amenable number.

682652707984 is an abundant number, since it is smaller than the sum of its proper divisors (749644837019).

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

682652707984 is an frugal number, since it uses more digits than its factorization.

682652707984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31812 (or 15904 counting only the distinct ones).

The product of its (nonzero) digits is 81285120, while the sum is 64.

Multiplying 682652707984 by its sum of digits (64), we get a square (43689773310976 = 66098242).

The spelling of 682652707984 in words is "six hundred eighty-two billion, six hundred fifty-two million, seven hundred seven thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 15889 31778 63556 127112 206557 254224 413114 826228 1652456 2685241 3304912 5370482 10740964 21481928 42963856 252460321 504920642 1009841284 2019682568 3281984173 4039365136 6563968346 13127936692 26255873384 42665794249 52511746768 85331588498 170663176996 341326353992 682652707984