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2678006394 = 233710964997
BaseRepresentation
bin1001111110011111…
…0010001001111010
320220122010211011000
42133213302021322
520441032201034
61121422545430
7123235451550
oct23747621172
96818124130
102678006394
111154734928
12628a38276
13338a85a8b
141b5949bd0
1510a18d599
hex9f9f227a

2678006394 has 64 divisors (see below), whose sum is σ = 6863788800. Its totient is φ = 758113344.

The previous prime is 2678006369. The next prime is 2678006399. The reversal of 2678006394 is 4936008762.

2678006394 is a `hidden beast` number, since 2 + 6 + 7 + 8 + 0 + 0 + 639 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (2678006399) 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 31 ways as a sum of consecutive naturals, for example, 8704 + ... + 73700.

It is an arithmetic number, because the mean of its divisors is an integer number (107246700).

Almost surely, 22678006394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2678006394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3431894400).

2678006394 is an abundant number, since it is smaller than the sum of its proper divisors (4185782406).

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

2678006394 is a wasteful number, since it uses less digits than its factorization.

2678006394 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65124 (or 65118 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The square root of 2678006394 is about 51749.4579102042. The cubic root of 2678006394 is about 1388.6854009973.

The spelling of 2678006394 in words is "two billion, six hundred seventy-eight million, six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 109 126 189 218 327 378 654 763 981 1526 1962 2289 2943 4578 5886 6867 13734 20601 41202 64997 129994 194991 389982 454979 584973 909958 1169946 1364937 1754919 2729874 3509838 4094811 7084673 8189622 12284433 14169346 21254019 24568866 42508038 49592711 63762057 99185422 127524114 148778133 191286171 297556266 382572342 446334399 892668798 1339003197 2678006394