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18882078048 = 253369131627
BaseRepresentation
bin10001100101011101…
…011010010101100000
31210201220221221122000
4101211131122111200
5302132302444143
612401352244000
71235626005141
oct214535322540
953656857560
1018882078048
11800a493789
1237ab6a0600
131a1bbc0662
14cb1a3dac8
15757a44bd3
hex46575a560

18882078048 has 96 divisors (see below), whose sum is σ = 55154171520. Its totient is φ = 6284718720.

The previous prime is 18882078029. The next prime is 18882078053. The reversal of 18882078048 is 84087028881.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 18882077985 and 18882078003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 581211 + ... + 612837.

It is an arithmetic number, because the mean of its divisors is an integer number (574522620).

Almost surely, 218882078048 is an apocalyptic number.

18882078048 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 18882078048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27577085760).

18882078048 is an abundant number, since it is smaller than the sum of its proper divisors (36272093472).

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

18882078048 is a wasteful number, since it uses less digits than its factorization.

18882078048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32337 (or 32323 counting only the distinct ones).

The product of its (nonzero) digits is 1835008, while the sum is 54.

The spelling of 18882078048 in words is "eighteen billion, eight hundred eighty-two million, seventy-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 691 864 1382 2073 2764 4146 5528 6219 8292 11056 12438 16584 18657 22112 24876 31627 33168 37314 49752 63254 66336 74628 94881 99504 126508 149256 189762 199008 253016 284643 298512 379524 506032 569286 597024 759048 853929 1012064 1138572 1518096 1707858 2277144 3036192 3415716 4554288 6831432 9108576 13662864 21854257 27325728 43708514 65562771 87417028 131125542 174834056 196688313 262251084 349668112 393376626 524502168 590064939 699336224 786753252 1049004336 1180129878 1573506504 2098008672 2360259756 3147013008 4720519512 6294026016 9441039024 18882078048