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20435245104 = 24319149150383
BaseRepresentation
bin10011000010000010…
…010001100000110000
31221202011112000021210
4103002002101200300
5313322410320404
613215434120120
71322255501031
oct230202214060
957664460253
1020435245104
11873718811a
123b63880040
131c08909711
14dbc022a88
157e9092689
hex4c2091830

20435245104 has 80 divisors (see below), whose sum is σ = 55942848000. Its totient is φ = 6409882368.

The previous prime is 20435245087. The next prime is 20435245109. The reversal of 20435245104 is 40154253402.

It is not an unprimeable number, because it can be changed into a prime (20435245109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60697 + ... + 211079.

It is an arithmetic number, because the mean of its divisors is an integer number (699285600).

Almost surely, 220435245104 is an apocalyptic number.

20435245104 is a gapful number since it is divisible by the number (24) 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 20435245104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27971424000).

20435245104 is an abundant number, since it is smaller than the sum of its proper divisors (35507602896).

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

20435245104 is a wasteful number, since it uses less digits than its factorization.

20435245104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150562 (or 150556 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 20435245104 its reverse (40154253402), we get a palindrome (60589498506).

The spelling of 20435245104 in words is "twenty billion, four hundred thirty-five million, two hundred forty-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 149 152 228 298 304 447 456 596 894 912 1192 1788 2384 2831 3576 5662 7152 8493 11324 16986 22648 33972 45296 67944 135888 150383 300766 451149 601532 902298 1203064 1804596 2406128 2857277 3609192 5714554 7218384 8571831 11429108 17143662 22407067 22858216 34287324 44814134 45716432 67221201 68574648 89628268 134442402 137149296 179256536 268884804 358513072 425734273 537769608 851468546 1075539216 1277202819 1702937092 2554405638 3405874184 5108811276 6811748368 10217622552 20435245104