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19466426088 = 2334293727997
BaseRepresentation
bin10010001000010010…
…100001011011101000
31212020122111220110000
4102020102201123220
5304331401113323
612535345023000
71256252614554
oct221022413350
955218456400
1019466426088
11828a32104a
123933324a60
131ab2c98c25
14d294b0864
1578debee43
hex4884a16e8

19466426088 has 160 divisors (see below), whose sum is σ = 57930661800. Its totient is φ = 6095513088.

The previous prime is 19466426033. The next prime is 19466426123. The reversal of 19466426088 is 88062466491.

19466426088 is a `hidden beast` number, since 1 + 9 + 466 + 42 + 60 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19214949924 + 251476164 = 138618^2 + 15858^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 681306 + ... + 709302.

Almost surely, 219466426088 is an apocalyptic number.

19466426088 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 19466426088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28965330900).

19466426088 is an abundant number, since it is smaller than the sum of its proper divisors (38464235712).

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

19466426088 is a wasteful number, since it uses less digits than its factorization.

19466426088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28081 (or 28068 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 19466426088 in words is "nineteen billion, four hundred sixty-six million, four hundred twenty-six thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 37 54 58 72 74 81 87 108 111 116 148 162 174 216 222 232 261 296 324 333 348 444 522 648 666 696 783 888 999 1044 1073 1332 1566 1998 2088 2146 2349 2664 2997 3132 3219 3996 4292 4698 5994 6264 6438 7992 8584 9396 9657 11988 12876 18792 19314 23976 25752 27997 28971 38628 55994 57942 77256 83991 86913 111988 115884 167982 173826 223976 231768 251973 335964 347652 503946 671928 695304 755919 811913 1007892 1035889 1511838 1623826 2015784 2071778 2267757 2435739 3023676 3107667 3247652 4143556 4535514 4871478 6047352 6215334 6495304 7307217 8287112 9071028 9323001 9742956 12430668 14614434 18142056 18646002 19485912 21921651 24861336 27969003 29228868 30040781 37292004 43843302 55938006 58457736 60081562 65764953 74584008 83907009 87686604 90122343 111876012 120163124 131529906 167814018 175373208 180244686 223752024 240326248 263059812 270367029 335628036 360489372 526119624 540734058 671256072 720978744 811101087 1081468116 1622202174 2162936232 2433303261 3244404348 4866606522 6488808696 9733213044 19466426088