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2783378112 = 26329349477
BaseRepresentation
bin1010010111100110…
…1111101011000000
321011222102020222020
42211321233223000
521200021044422
61140105241440
7125655215664
oct24571575300
97158366866
102783378112
1111a9165199
12658193280
1335485a5c8
141c59388a4
1511455495c
hexa5e6fac0

2783378112 has 56 divisors (see below), whose sum is σ = 7389638256. Its totient is φ = 924607488.

The previous prime is 2783378107. The next prime is 2783378141. The reversal of 2783378112 is 2118733872.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31518 + ... + 80994.

It is an arithmetic number, because the mean of its divisors is an integer number (131957826).

Almost surely, 22783378112 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 2783378112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3694819128).

2783378112 is an abundant number, since it is smaller than the sum of its proper divisors (4606260144).

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

2783378112 is a wasteful number, since it uses less digits than its factorization.

2783378112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49785 (or 49775 counting only the distinct ones).

The product of its digits is 112896, while the sum is 42.

The square root of 2783378112 is about 52757.7303530014. The cubic root of 2783378112 is about 1406.6651756334.

The spelling of 2783378112 in words is "two billion, seven hundred eighty-three million, three hundred seventy-eight thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 293 586 879 1172 1758 2344 3516 4688 7032 9376 14064 18752 28128 49477 56256 98954 148431 197908 296862 395816 593724 791632 1187448 1583264 2374896 3166528 4749792 9499584 14496761 28993522 43490283 57987044 86980566 115974088 173961132 231948176 347922264 463896352 695844528 927792704 1391689056 2783378112