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210042656032 = 25112963132609
BaseRepresentation
bin1100001110011110000…
…1001001010100100000
3202002011020022110200211
43003213201021110200
511420131404443112
6240254155023504
721114024055366
oct3034741112440
9662136273624
10210042656032
1181095670330
123485aa3ab94
1316a64ac30b1
14a247b89636
1556e4e5b0a7
hex30e7849520

210042656032 has 96 divisors (see below), whose sum is σ = 467423913600. Its totient is φ = 92032819200.

The previous prime is 210042656009. The next prime is 210042656053. The reversal of 210042656032 is 230656240012.

It is a junction number, because it is equal to n+sod(n) for n = 210042655985 and 210042656003.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6424944 + ... + 6457552.

It is an arithmetic number, because the mean of its divisors is an integer number (4868999100).

Almost surely, 2210042656032 is an apocalyptic number.

210042656032 is a gapful number since it is divisible by the number (22) 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 210042656032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233711956800).

210042656032 is an abundant number, since it is smaller than the sum of its proper divisors (257381257568).

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

210042656032 is a wasteful number, since it uses less digits than its factorization.

210042656032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33290 (or 33282 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 31.

Adding to 210042656032 its reverse (230656240012), we get a palindrome (440698896044).

The spelling of 210042656032 in words is "two hundred ten billion, forty-two million, six hundred fifty-six thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 88 116 176 232 319 352 464 631 638 928 1262 1276 2524 2552 5048 5104 6941 10096 10208 13882 18299 20192 27764 32609 36598 55528 65218 73196 111056 130436 146392 201289 222112 260872 292784 358699 402578 521744 585568 717398 805156 945661 1043488 1434796 1610312 1891322 2869592 3220624 3782644 5739184 6441248 7565288 10402271 11478368 15130576 20576279 20804542 30261152 41152558 41609084 82305116 83218168 164610232 166436336 226339069 329220464 332872672 452678138 596712091 658440928 905356276 1193424182 1810712552 2386848364 3621425104 4773696728 6563833001 7242850208 9547393456 13127666002 19094786912 26255332004 52510664008 105021328016 210042656032