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1897012656 = 243372118147
BaseRepresentation
bin111000100010010…
…0001110110110000
311220012120020011000
41301010201312300
512341113401111
6512123322000
765003225100
oct16104416660
94805506130
101897012656
118938a5760
1244b380300
13243028bc6
1413dd2b200
15b181cc56
hex71121db0

1897012656 has 240 divisors, whose sum is σ = 6910807680. Its totient is φ = 492670080.

The previous prime is 1897012597. The next prime is 1897012657. The reversal of 1897012656 is 6562107981.

It is not an unprimeable number, because it can be changed into a prime (1897012657) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 228775 + ... + 236921.

It is an arithmetic number, because the mean of its divisors is an integer number (28795032).

Almost surely, 21897012656 is an apocalyptic number.

1897012656 is a gapful number since it is divisible by the number (16) 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 1897012656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3455403840).

1897012656 is an abundant number, since it is smaller than the sum of its proper divisors (5013795024).

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

1897012656 is a wasteful number, since it uses less digits than its factorization.

1897012656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8189 (or 8170 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The square root of 1897012656 is about 43554.7087695464. The cubic root of 1897012656 is about 1237.9128642619.

It can be divided in two parts, 18970 and 12656, that added together give a triangular number (31626 = T251).

The spelling of 1897012656 in words is "one billion, eight hundred ninety-seven million, twelve thousand, six hundred fifty-six".