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1977680256 = 2735150209
BaseRepresentation
bin111010111100001…
…0000000110000000
312002211100120021220
41311320100012000
513022241232011
6524124315040
7100003001436
oct16570200600
95084316256
101977680256
119253924a2
124723a2a80
13256961106
1414a928d56
15b8954506
hex75e10180

1977680256 has 32 divisors (see below), whose sum is σ = 5253214200. Its totient is φ = 659226624.

The previous prime is 1977680219. The next prime is 1977680267. The reversal of 1977680256 is 6520867791.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×19776802562 = 7822438389944451072, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1977680199 and 1977680208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2574721 + ... + 2575488.

Almost surely, 21977680256 is an apocalyptic number.

1977680256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1977680256 is an abundant number, since it is smaller than the sum of its proper divisors (3275533944).

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

1977680256 is an equidigital number, since it uses as much as digits as its factorization.

1977680256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5150226 (or 5150214 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 51.

The square root of 1977680256 is about 44471.1170986293. The cubic root of 1977680256 is about 1255.2166535484.

The spelling of 1977680256 in words is "one billion, nine hundred seventy-seven million, six hundred eighty thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 5150209 10300418 15450627 20600836 30901254 41201672 61802508 82403344 123605016 164806688 247210032 329613376 494420064 659226752 988840128 1977680256