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1020408276644 = 221014016298661
BaseRepresentation
bin11101101100101010001…
…00101010011010100100
310121112212000012021222222
432312111010222122210
5113204244004323034
62100434042411512
7133502445145601
oct16662504523244
93545760167888
101020408276644
11363830963229
12145918800b98
13752bb422093
1437560a496a8
151b82327d12e
hexed9512a6a4

1020408276644 has 24 divisors (see below), whose sum is σ = 1807892356536. Its totient is φ = 503892800000.

The previous prime is 1020408276623. The next prime is 1020408276661. The reversal of 1020408276644 is 4466728040201.

It can be written as a sum of positive squares in 4 ways, for example, as 778700353600 + 241707923044 = 882440^2 + 491638^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1020408276595 and 1020408276604.

It is an unprimeable number.

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, 2987327 + ... + 3311334.

It is an arithmetic number, because the mean of its divisors is an integer number (75328848189).

Almost surely, 21020408276644 is an apocalyptic number.

It is an amenable number.

1020408276644 is a deficient number, since it is larger than the sum of its proper divisors (787484079892).

1020408276644 is a wasteful number, since it uses less digits than its factorization.

1020408276644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6299167 (or 6299165 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 44.

The spelling of 1020408276644 in words is "one trillion, twenty billion, four hundred eight million, two hundred seventy-six thousand, six hundred forty-four".

Divisors: 1 2 4 101 202 401 404 802 1604 40501 81002 162004 6298661 12597322 25194644 636164761 1272329522 2525763061 2544659044 5051526122 10103052244 255102069161 510204138322 1020408276644