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42556026032 = 24134344910597
BaseRepresentation
bin100111101000100010…
…010110110010110000
311001211210200010001022
4213220202112302300
51144123320313112
631314443155012
73034402152512
oct475042266260
9131753603038
1042556026032
1117058849253
1282b7b15a68
134022799bc0
1420b9c43bb2
1511910ccd72
hex9e8896cb0

42556026032 has 80 divisors (see below), whose sum is σ = 91070733600. Its totient is φ = 19139936256.

The previous prime is 42556025987. The next prime is 42556026041. The reversal of 42556026032 is 23062065524.

It is a super-2 number, since 2×425560260322 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42556025983 and 42556026001.

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, 4010558 + ... + 4021154.

It is an arithmetic number, because the mean of its divisors is an integer number (1138384170).

Almost surely, 242556026032 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 42556026032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45535366800).

42556026032 is an abundant number, since it is smaller than the sum of its proper divisors (48514707568).

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

42556026032 is a wasteful number, since it uses less digits than its factorization.

42556026032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11110 (or 11104 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

The spelling of 42556026032 in words is "forty-two billion, five hundred fifty-six million, twenty-six thousand, thirty-two".

Divisors: 1 2 4 8 13 16 26 43 52 86 104 172 208 344 449 559 688 898 1118 1796 2236 3592 4472 5837 7184 8944 10597 11674 19307 21194 23348 38614 42388 46696 77228 84776 93392 137761 154456 169552 250991 275522 308912 455671 501982 551044 911342 1003964 1102088 1822684 2007928 2204176 3645368 4015856 4758053 5923723 7290736 9516106 11847446 19032212 23694892 38064424 47389784 61854689 76128848 94779568 123709378 204596279 247418756 409192558 494837512 818385116 989675024 1636770232 2659751627 3273540464 5319503254 10639006508 21278013016 42556026032