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20776873050 = 23252281164309
BaseRepresentation
bin10011010110011001…
…011110110001011010
31222121222100111201200
4103112121132301122
5320022334414200
613313400255030
71333604335623
oct232631366132
958558314650
1020776873050
1188a200426a
12403a171476
131c6162102b
141011550a4a
15819075800
hex4d665ec5a

20776873050 has 72 divisors (see below), whose sum is σ = 56019522780. Its totient is φ = 5520748800.

The previous prime is 20776873043. The next prime is 20776873067. The reversal of 20776873050 is 5037867702.

It can be written as a sum of positive squares in 6 ways, for example, as 2720769921 + 18056103129 = 52161^2 + 134373^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 20776872987 and 20776873005.

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 35 ways as a sum of consecutive naturals, for example, 44296 + ... + 208604.

Almost surely, 220776873050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20776873050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28009761390).

20776873050 is an abundant number, since it is smaller than the sum of its proper divisors (35242649730).

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

20776873050 is a wasteful number, since it uses less digits than its factorization.

20776873050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164608 (or 164600 counting only the distinct ones).

The product of its (nonzero) digits is 493920, while the sum is 45.

The spelling of 20776873050 in words is "twenty billion, seven hundred seventy-six million, eight hundred seventy-three thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 150 225 281 450 562 843 1405 1686 2529 2810 4215 5058 7025 8430 12645 14050 21075 25290 42150 63225 126450 164309 328618 492927 821545 985854 1478781 1643090 2464635 2957562 4107725 4929270 7393905 8215450 12323175 14787810 24646350 36969525 46170829 73939050 92341658 138512487 230854145 277024974 415537461 461708290 692562435 831074922 1154270725 1385124870 2077687305 2308541450 3462812175 4155374610 6925624350 10388436525 20776873050