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19466294320 = 24511106120849
BaseRepresentation
bin10010001000010010…
…000001010000110000
31212020122021012200201
4102020102001100300
5304331332404240
612535342124544
71256251525444
oct221022012060
955218235621
1019466294320
11828a241050
123933280754
131ab2c50c65
14d29478824
1578de95d9a
hex488481430

19466294320 has 80 divisors (see below), whose sum is σ = 49422506400. Its totient is φ = 7071641600.

The previous prime is 19466294311. The next prime is 19466294327. The reversal of 19466294320 is 2349266491.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×194662943202 (a number of 21 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (46) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (19466294327) 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, 923256 + ... + 944104.

It is an arithmetic number, because the mean of its divisors is an integer number (617781330).

Almost surely, 219466294320 is an apocalyptic number.

19466294320 is a gapful number since it is divisible by the number (10) 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 19466294320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24711253200).

19466294320 is an abundant number, since it is smaller than the sum of its proper divisors (29956212080).

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

19466294320 is a wasteful number, since it uses less digits than its factorization.

19466294320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21934 (or 21928 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 19466294320 in words is "nineteen billion, four hundred sixty-six million, two hundred ninety-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 880 1061 2122 4244 5305 8488 10610 11671 16976 20849 21220 23342 41698 42440 46684 58355 83396 84880 93368 104245 116710 166792 186736 208490 229339 233420 333584 416980 458678 466840 833960 917356 933680 1146695 1667920 1834712 2293390 3669424 4586780 9173560 18347120 22120789 44241578 88483156 110603945 176966312 221207890 243328679 353932624 442415780 486657358 884831560 973314716 1216643395 1769663120 1946629432 2433286790 3893258864 4866573580 9733147160 19466294320