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816160160080 = 24510202002001
BaseRepresentation
bin10111110000001101110…
…11111011100101010000
32220000122121022221010001
423320012323323211100
5101332444000110310
61422534440415344
7112652131616236
oct13700673734520
92800577287101
10816160160080
1129514a1511a1
12112216477554
135bc6ac7b185
142b7066a8956
151636bdc293a
hexbe06efb950

816160160080 has 20 divisors (see below), whose sum is σ = 1897572372372. Its totient is φ = 326464064000.

The previous prime is 816160160051. The next prime is 816160160143. The reversal of 816160160080 is 80061061618.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 646409568016 + 169750592064 = 803996^2 + 412008^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×8161601600802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5101000921 + ... + 5101001080.

Almost surely, 2816160160080 is an apocalyptic number.

816160160080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

816160160080 is an abundant number, since it is smaller than the sum of its proper divisors (1081412212292).

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

816160160080 is a wasteful number, since it uses less digits than its factorization.

816160160080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10202002014 (or 10202002008 counting only the distinct ones).

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

The spelling of 816160160080 in words is "eight hundred sixteen billion, one hundred sixty million, one hundred sixty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 10202002001 20404004002 40808008004 51010010005 81616016008 102020020010 163232032016 204040040020 408080080040 816160160080