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2132254072064 = 2838397722259
BaseRepresentation
bin11111000001110100001…
…111110001110100000000
321112211201110012211011102
4133001310033301310000
5234413324020301224
64311313300433532
7310023146366054
oct37016417616400
97484643184142
102132254072064
11752313921696
122a52b36a88a8
131260bc42024c
14752b746dc64
153a6e8b8e4ae
hex1f0743f1d00

2132254072064 has 72 divisors (see below), whose sum is σ = 4271851422720. Its totient is φ = 1062207315968.

The previous prime is 2132254072063. The next prime is 2132254072087. The reversal of 2132254072064 is 4602704522312.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2132254072061) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95781767 + ... + 95804025.

It is an arithmetic number, because the mean of its divisors is an integer number (59331269760).

Almost surely, 22132254072064 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 2132254072064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2135925711360).

2132254072064 is an abundant number, since it is smaller than the sum of its proper divisors (2139597350656).

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

2132254072064 is an equidigital number, since it uses as much as digits as its factorization.

2132254072064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23635 (or 23621 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 38.

Adding to 2132254072064 its reverse (4602704522312), we get a palindrome (6734958594376).

The spelling of 2132254072064 in words is "two trillion, one hundred thirty-two billion, two hundred fifty-four million, seventy-two thousand, sixty-four".

Divisors: 1 2 4 8 16 32 64 128 256 383 766 977 1532 1954 3064 3908 6128 7816 12256 15632 22259 24512 31264 44518 49024 62528 89036 98048 125056 178072 250112 356144 374191 712288 748382 1424576 1496764 2849152 2993528 5698304 5987056 8525197 11974112 17050394 21747043 23948224 34100788 43494086 47896448 68201576 86988172 95792896 136403152 173976344 272806304 347952688 545612608 695905376 1091225216 1391810752 2182450432 2783621504 5567243008 8329117469 16658234938 33316469876 66632939752 133265879504 266531759008 533063518016 1066127036032 2132254072064