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18969461928 = 233453643859
BaseRepresentation
bin10001101010101010…
…110000010010101000
31210222000101111210000
4101222222300102220
5302322140240203
612414153223000
71241036523504
oct215252602250
953860344700
1018969461928
11805484856a
123814a01a60
131a340378b1
14cbd4a9304
157605564a3
hex46aab04a8

18969461928 has 160 divisors (see below), whose sum is σ = 54281858400. Its totient is φ = 6186989952.

The previous prime is 18969461897. The next prime is 18969461971. The reversal of 18969461928 is 82916496981.

18969461928 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 9 + 4 + 619 + 2 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22082763 + ... + 22083621.

It is an arithmetic number, because the mean of its divisors is an integer number (339261615).

Almost surely, 218969461928 is an apocalyptic number.

18969461928 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 18969461928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27140929200).

18969461928 is an abundant number, since it is smaller than the sum of its proper divisors (35312396472).

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

18969461928 is a wasteful number, since it uses less digits than its factorization.

18969461928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1560 counting only the distinct ones).

The product of its digits is 13436928, while the sum is 63.

The spelling of 18969461928 in words is "eighteen billion, nine hundred sixty-nine million, four hundred sixty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 643 648 859 954 1272 1286 1431 1718 1908 1929 2572 2577 2862 3436 3816 3858 4293 5144 5154 5724 5787 6872 7716 7731 8586 10308 11448 11574 15432 15462 17172 17361 20616 23148 23193 30924 34079 34344 34722 45527 46296 46386 52083 61848 68158 69444 69579 91054 92772 102237 104166 136316 136581 138888 139158 182108 185544 204474 208332 272632 273162 278316 306711 364216 408948 409743 416664 546324 552337 556632 613422 817896 819486 920133 1092648 1104674 1226844 1229229 1638972 1657011 1840266 2209348 2453688 2458458 2760399 3277944 3314022 3680532 3687687 4418696 4916916 4971033 5520798 6628044 7361064 7375374 9833832 9942066 11041596 13256088 14750748 14913099 19884132 22083192 29273861 29501496 29826198 39768264 44739297 58547722 59652396 87821583 89478594 117095444 119304792 175643166 178957188 234190888 263464749 351286332 357914376 526929498 702572664 790394247 1053858996 1580788494 2107717992 2371182741 3161576988 4742365482 6323153976 9484730964 18969461928