Search a number
-
+
816160816000 = 275351010051
BaseRepresentation
bin10111110000001101111…
…10011011101110000000
32220000122122120020212101
423320012332123232000
5101332444132103000
61422534502440144
7112652140320445
oct13700676335600
92800578506771
10816160816000
1129514a559a82
12112216733054
135bc6b14a8aa
142b7067d99cc
151636bea1e6a
hexbe06f9bb80

816160816000 has 64 divisors (see below), whose sum is σ = 2029179868560. Its totient is φ = 326464320000.

The previous prime is 816160815989. The next prime is 816160816001. The reversal of 816160816000 is 618061618.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8161608160002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (816160816001) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25489026 + ... + 25521025.

Almost surely, 2816160816000 is an apocalyptic number.

816160816000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816160816000 is an abundant number, since it is smaller than the sum of its proper divisors (1213019052560).

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

816160816000 is an equidigital number, since it uses as much as digits as its factorization.

816160816000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51010080 (or 51010058 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

Adding to 816160816000 its reverse (618061618), we get a palindrome (816778877618).

The spelling of 816160816000 in words is "eight hundred sixteen billion, one hundred sixty million, eight hundred sixteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 320 400 500 640 800 1000 1600 2000 3200 4000 8000 16000 51010051 102020102 204040204 255050255 408080408 510100510 816160816 1020201020 1275251275 1632321632 2040402040 2550502550 3264643264 4080804080 5101005100 6376256375 6529286528 8161608160 10202010200 12752512750 16323216320 20404020400 25505025500 32646432640 40808040800 51010051000 81616081600 102020102000 163232163200 204040204000 408080408000 816160816000