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2077901056 = 2872112372
BaseRepresentation
bin111101111011010…
…0100000100000000
312100210221022101101
41323312210010000
513223420313211
6542104344144
7102330603400
oct17366440400
95323838341
102077901056
11976a14900
1249ba75054
1327165126a
14159d76800
15c264e5c1
hex7bda4100

2077901056 has 243 divisors, whose sum is σ = 5450564637. Its totient is φ = 787691520.

The previous prime is 2077901039. The next prime is 2077901087. The reversal of 2077901056 is 6501097702.

The square root of 2077901056 is 45584.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1859334400 + 218566656 = 43120^2 + 14784^2 .

It is a Harshad number since it is a multiple of its sum of digits (37).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 56159470 + ... + 56159506.

Almost surely, 22077901056 is an apocalyptic number.

2077901056 is the 45584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2077901056

2077901056 is an abundant number, since it is smaller than the sum of its proper divisors (3372663581).

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

2077901056 is an equidigital number, since it uses as much as digits as its factorization.

2077901056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 37.

The cubic root of 2077901056 is about 1276.0713396499.

Adding to 2077901056 its reverse (6501097702), we get a palindrome (8578998758).

The spelling of 2077901056 in words is "two billion, seventy-seven million, nine hundred one thousand, fifty-six".