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42521000104 = 23112383114691
BaseRepresentation
bin100111100110011100…
…101111100010101000
311001202100202121111201
4213212130233202220
51144040334000404
631311152333544
73033465352222
oct474634574250
9131670677451
1042521000104
111703aaa5800
1282a82442b4
1340184553bb
1420b5327412
15118ceaeca4
hex9e672f8a8

42521000104 has 48 divisors (see below), whose sum is σ = 87863247360. Its totient is φ = 19277095200.

The previous prime is 42521000051. The next prime is 42521000111. The reversal of 42521000104 is 40100012524.

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 11 ways as a sum of consecutive naturals, for example, 313399 + ... + 428089.

It is an arithmetic number, because the mean of its divisors is an integer number (1830484320).

Almost surely, 242521000104 is an apocalyptic number.

42521000104 is a gapful number since it is divisible by the number (44) 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 42521000104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43931623680).

42521000104 is an abundant number, since it is smaller than the sum of its proper divisors (45342247256).

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

42521000104 is a wasteful number, since it uses less digits than its factorization.

42521000104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115102 (or 115087 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

Adding to 42521000104 its reverse (40100012524), we get a palindrome (82621012628).

The spelling of 42521000104 in words is "forty-two billion, five hundred twenty-one million, one hundred four", and thus it is an aban number.

Divisors: 1 2 4 8 11 22 44 88 121 242 383 484 766 968 1532 3064 4213 8426 16852 33704 46343 92686 114691 185372 229382 370744 458764 917528 1261601 2523202 5046404 10092808 13877611 27755222 43926653 55510444 87853306 111020888 175706612 351413224 483193183 966386366 1932772732 3865545464 5315125013 10630250026 21260500052 42521000104