Search a number
-
+
19113438784 = 261122985109
BaseRepresentation
bin10001110011001111…
…111110111001000000
31211100001022021220011
4101303033332321000
5303121020020114
612440335154304
71244435356216
oct216317767100
954301267804
1019113438784
118119046500
123855075994
131a57b080bb
14cd4666cb6
1576cee61c4
hex4733fee40

19113438784 has 84 divisors (see below), whose sum is σ = 43127790300. Its totient is φ = 8388244480.

The previous prime is 19113438767. The next prime is 19113438791. The reversal of 19113438784 is 48783431191.

It can be written as a sum of positive squares in 2 ways, for example, as 9049336384 + 10064102400 = 95128^2 + 100320^2 .

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, 182022 + ... + 267130.

It is an arithmetic number, because the mean of its divisors is an integer number (513426075).

Almost surely, 219113438784 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 19113438784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21563895150).

19113438784 is an abundant number, since it is smaller than the sum of its proper divisors (24014351516).

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

19113438784 is a wasteful number, since it uses less digits than its factorization.

19113438784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85172 (or 85151 counting only the distinct ones).

The product of its digits is 580608, while the sum is 49.

The spelling of 19113438784 in words is "nineteen billion, one hundred thirteen million, four hundred thirty-eight thousand, seven hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 29 32 44 58 64 88 116 121 176 232 242 319 352 464 484 638 704 928 968 1276 1856 1936 2552 3509 3872 5104 7018 7744 10208 14036 20416 28072 56144 85109 112288 170218 224576 340436 680872 936199 1361744 1872398 2468161 2723488 3744796 4936322 5446976 7489592 9872644 10298189 14979184 19745288 20596378 27149771 29958368 39490576 41192756 54299542 59916736 78981152 82385512 108599084 157962304 164771024 217198168 298647481 329542048 434396336 597294962 659084096 868792672 1194589924 1737585344 2389179848 4778359696 9556719392 19113438784