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2077978980 = 22357112311319
BaseRepresentation
bin111101111011011…
…0111000101100100
312100211002021021110
41323312313011210
513223430311410
6542110145020
7102331346520
oct17366670544
95324067243
102077978980
11976a68400
1249bab2170
1327167a87c
14159d96d80
15c2667720
hex7bdb7164

2077978980 has 288 divisors, whose sum is σ = 7550484480. Its totient is φ = 417542400.

The previous prime is 2077978979. The next prime is 2077979009. The reversal of 2077978980 is 898797702.

It is a self number, because there is not a number n which added to its sum of digits gives 2077978980.

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 95 ways as a sum of consecutive naturals, for example, 1574761 + ... + 1576079.

It is an arithmetic number, because the mean of its divisors is an integer number (26216960).

Almost surely, 22077978980 is an apocalyptic number.

2077978980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077978980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3775242240).

2077978980 is an abundant number, since it is smaller than the sum of its proper divisors (5472505500).

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

2077978980 is a wasteful number, since it uses less digits than its factorization.

2077978980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1391 (or 1378 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 57.

The square root of 2077978980 is about 45584.8547217165. The cubic root of 2077978980 is about 1276.0872908971.

The spelling of 2077978980 in words is "two billion, seventy-seven million, nine hundred seventy-eight thousand, nine hundred eighty".