Search a number
-
+
18954756096 = 21331276073
BaseRepresentation
bin10001101001110010…
…101010000000000000
31210220222201101011120
4101221302222000000
5302304404143341
612412510112240
71240500524403
oct215162520000
953828641146
1018954756096
118047513891
12380baab680
131a30c89113
14cbb55bd3a
1575e0ee066
hex469caa000

18954756096 has 112 divisors (see below), whose sum is σ = 50949295104. Its totient is φ = 6267469824.

The previous prime is 18954756077. The next prime is 18954756097. The reversal of 18954756096 is 69065745981.

It is a super-2 number, since 2×189547560962 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18954756097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3118116 + ... + 3124188.

Almost surely, 218954756096 is an apocalyptic number.

18954756096 is a gapful number since it is divisible by the number (16) 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 18954756096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25474647552).

18954756096 is an abundant number, since it is smaller than the sum of its proper divisors (31994539008).

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

18954756096 is an equidigital number, since it uses as much as digits as its factorization.

18954756096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6229 (or 6205 counting only the distinct ones).

The product of its (nonzero) digits is 16329600, while the sum is 60.

The spelling of 18954756096 in words is "eighteen billion, nine hundred fifty-four million, seven hundred fifty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 128 192 254 256 381 384 508 512 762 768 1016 1024 1524 1536 2032 2048 3048 3072 4064 4096 6073 6096 6144 8128 8192 12146 12192 12288 16256 18219 24292 24384 24576 32512 36438 48584 48768 65024 72876 97168 97536 130048 145752 194336 195072 260096 291504 388672 390144 520192 583008 771271 777344 780288 1040384 1166016 1542542 1554688 1560576 2313813 2332032 3085084 3109376 3121152 4627626 4664064 6170168 6218752 9255252 9328128 12340336 12437504 18510504 18656256 24680672 24875008 37021008 37312512 49361344 49750016 74042016 74625024 98722688 148084032 149250048 197445376 296168064 394890752 592336128 789781504 1184672256 1579563008 2369344512 3159126016 4738689024 6318252032 9477378048 18954756096