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42605050624 = 28229726751
BaseRepresentation
bin100111101011011101…
…010111101100000000
311001222012220211010221
4213223131113230000
51144223343104444
631323354032424
73035535645403
oct475335275400
9131865824127
1042605050624
1117083493144
128310418714
13402c9a3336
1420c2565d3a
151195563a84
hex9eb757b00

42605050624 has 36 divisors (see below), whose sum is σ = 85415162560. Its totient is φ = 21209472000.

The previous prime is 42605050583. The next prime is 42605050651.

42605050624 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 42605050624.

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 3 ways as a sum of consecutive naturals, for example, 304752 + ... + 421999.

Almost surely, 242605050624 is an apocalyptic number.

It is an amenable number.

42605050624 is an abundant number, since it is smaller than the sum of its proper divisors (42810111936).

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

42605050624 is an equidigital number, since it uses as much as digits as its factorization.

42605050624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726996 (or 726982 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 34.

It can be divided in two parts, 426050 and 50624, that added together give a palindrome (476674).

The spelling of 42605050624 in words is "forty-two billion, six hundred five million, fifty thousand, six hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 128 229 256 458 916 1832 3664 7328 14656 29312 58624 726751 1453502 2907004 5814008 11628016 23256032 46512064 93024128 166425979 186048256 332851958 665703916 1331407832 2662815664 5325631328 10651262656 21302525312 42605050624