Search a number
-
+
20414478608 = 2431594211657
BaseRepresentation
bin10011000000110011…
…000011100100010000
31221200201102222000022
4103000303003210100
5313302101303413
613213413043012
71321614130226
oct230063034420
957621388008
1020414478608
118726493a27
123b58926468
131c04518454
14db9378b16
157e733e608
hex4c0cc3910

20414478608 has 80 divisors (see below), whose sum is σ = 41644715520. Its totient is φ = 9681638400.

The previous prime is 20414478593. The next prime is 20414478613. The reversal of 20414478608 is 80687441402.

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, 12319316 + ... + 12320972.

It is an arithmetic number, because the mean of its divisors is an integer number (520558944).

Almost surely, 220414478608 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 20414478608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20822357760).

20414478608 is an abundant number, since it is smaller than the sum of its proper divisors (21230236912).

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

20414478608 is a wasteful number, since it uses less digits than its factorization.

20414478608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2176 (or 2170 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 44.

The spelling of 20414478608 in words is "twenty billion, four hundred fourteen million, four hundred seventy-eight thousand, six hundred eight".

Divisors: 1 2 4 8 16 31 59 62 118 124 236 248 421 472 496 842 944 1657 1684 1829 3314 3368 3658 6628 6736 7316 13051 13256 14632 24839 26102 26512 29264 49678 51367 52204 97763 99356 102734 104408 195526 198712 205468 208816 391052 397424 410936 697597 770009 782104 821872 1395194 1540018 1564208 2790388 3030653 3080036 5580776 6061306 6160072 11161552 12122612 12320144 21625507 24245224 41158223 43251014 48490448 82316446 86502028 164632892 173004056 329265784 346008112 658531568 1275904913 2551809826 5103619652 10207239304 20414478608