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2161312736 = 251110160793
BaseRepresentation
bin1000000011010011…
…0000001111100000
312120121220001200212
42000310300033200
513411244001421
6554244233252
7104362566212
oct20064601740
95517801625
102161312736
11a0a006280
1250399b828
13285a0749b
1416708a5b2
15c9b28e5b
hex80d303e0

2161312736 has 48 divisors (see below), whose sum is σ = 4687946928. Its totient is φ = 972672000.

The previous prime is 2161312723. The next prime is 2161312739. The reversal of 2161312736 is 6372131612.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2161312739) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5156 + ... + 65948.

It is an arithmetic number, because the mean of its divisors is an integer number (97665561).

Almost surely, 22161312736 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 2161312736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2343973464).

2161312736 is an abundant number, since it is smaller than the sum of its proper divisors (2526634192).

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

2161312736 is a wasteful number, since it uses less digits than its factorization.

2161312736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60915 (or 60907 counting only the distinct ones).

The product of its digits is 9072, while the sum is 32.

The square root of 2161312736 is about 46489.9208001046. The cubic root of 2161312736 is about 1292.9226317252.

The spelling of 2161312736 in words is "two billion, one hundred sixty-one million, three hundred twelve thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 11 16 22 32 44 88 101 176 202 352 404 808 1111 1616 2222 3232 4444 8888 17776 35552 60793 121586 243172 486344 668723 972688 1337446 1945376 2674892 5349784 6140093 10699568 12280186 21399136 24560372 49120744 67541023 98241488 135082046 196482976 270164092 540328184 1080656368 2161312736