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18929299968 = 29337917333
BaseRepresentation
bin10001101000010001…
…100011001000000000
31210212012211001221000
4101220101203020000
5302231400044333
612410200332000
71240041252315
oct215021431000
953765731830
1018929299968
118034107267
123803474000
131a28915417
14cb8012d0c
1575bc71713
hex468463200

18929299968 has 160 divisors (see below), whose sum is σ = 56744582400. Its totient is φ = 6229536768.

The previous prime is 18929299957. The next prime is 18929299969. The reversal of 18929299968 is 86999292981.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 18929299896 and 18929299905.

It is not an unprimeable number, because it can be changed into a prime (18929299969) 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, 1083430 + ... + 1100762.

It is an arithmetic number, because the mean of its divisors is an integer number (354653640).

Almost surely, 218929299968 is an apocalyptic number.

18929299968 is a gapful number since it is divisible by the number (18) 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 18929299968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28372291200).

18929299968 is an abundant number, since it is smaller than the sum of its proper divisors (37815282432).

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

18929299968 is an equidigital number, since it uses as much as digits as its factorization.

18929299968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17439 (or 17417 counting only the distinct ones).

The product of its digits is 90699264, while the sum is 72.

The spelling of 18929299968 in words is "eighteen billion, nine hundred twenty-nine million, two hundred ninety-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 79 96 108 128 144 158 192 216 237 256 288 316 384 432 474 512 576 632 711 768 864 948 1152 1264 1422 1536 1728 1896 2133 2304 2528 2844 3456 3792 4266 4608 5056 5688 6912 7584 8532 10112 11376 13824 15168 17064 17333 20224 22752 30336 34128 34666 40448 45504 51999 60672 68256 69332 91008 103998 121344 136512 138664 155997 182016 207996 273024 277328 311994 364032 415992 467991 546048 554656 623988 831984 935982 1092096 1109312 1247976 1369307 1663968 1871964 2218624 2495952 2738614 3327936 3743928 4107921 4437248 4991904 5477228 6655872 7487856 8215842 8874496 9983808 10954456 12323763 13311744 14975712 16431684 19967616 21908912 24647526 26623488 29951424 32863368 36971289 39935232 43817824 49295052 59902848 65726736 73942578 79870464 87635648 98590104 119805696 131453472 147885156 175271296 197180208 239611392 262906944 295770312 350542592 394360416 525813888 591540624 701085184 788720832 1051627776 1183081248 1577441664 2103255552 2366162496 3154883328 4732324992 6309766656 9464649984 18929299968