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18911980672 = 271343534987
BaseRepresentation
bin10001100111001111…
…011110110010000000
31210211000020011022121
4101213033132302000
5302212431340142
612404341214024
71236441116614
oct214717366200
953730204277
1018911980672
118025357aa2
1237b9701314
131a25160210
14cb59c5344
1575a49ec67
hex4673dec80

18911980672 has 128 divisors (see below), whose sum is σ = 42309812160. Its totient is φ = 8363077632.

The previous prime is 18911980663. The next prime is 18911980699. The reversal of 18911980672 is 27608911981.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3789763 + ... + 3794749.

Almost surely, 218911980672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18911980672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21154906080).

18911980672 is an abundant number, since it is smaller than the sum of its proper divisors (23397831488).

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

18911980672 is a wasteful number, since it uses less digits than its factorization.

18911980672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5110 (or 5098 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 52.

The spelling of 18911980672 in words is "eighteen billion, nine hundred eleven million, nine hundred eighty thousand, six hundred seventy-two".

Divisors: 1 2 4 8 13 16 26 32 43 52 53 64 86 104 106 128 172 208 212 344 416 424 559 688 689 832 848 1118 1376 1378 1664 1696 2236 2279 2752 2756 3392 4472 4558 4987 5504 5512 6784 8944 9116 9974 11024 17888 18232 19948 22048 29627 35776 36464 39896 44096 59254 64831 71552 72928 79792 88192 118508 129662 145856 159584 214441 237016 259324 264311 291712 319168 428882 474032 518648 528622 638336 857764 948064 1037296 1057244 1715528 1896128 2074592 2114488 2787733 3431056 3436043 3792256 4149184 4228976 5575466 6862112 6872086 8298368 8457952 11150932 11365373 13724224 13744172 16915904 22301864 22730746 27448448 27488344 33831808 44603728 45461492 54976688 89207456 90922984 109953376 147749849 178414912 181845968 219906752 295499698 356829824 363691936 439813504 590999396 727383872 1181998792 1454767744 2363997584 4727995168 9455990336 18911980672