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1800403087681 = 11222325472
BaseRepresentation
bin11010001100110000011…
…000101111000101000001
320101010011012001010211001
4122030300120233011001
5213444211142301211
63455032130252001
7244034444512552
oct32146030570501
96333135033731
101800403087681
11634601674400
12250b1b427001
13100a148c8023
14631d6138329
1531c7512bac1
hex1a33062f141

1800403087681 has 27 divisors (see below), whose sum is σ = 1991510268993. Its totient is φ = 1626411706920.

The previous prime is 1800403087663. The next prime is 1800403087699. The reversal of 1800403087681 is 1867803040081.

The square root of 1800403087681 is 1341791.

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

It is an interprime number because it is at equal distance from previous prime (1800403087663) and next prime (1800403087699).

It is not a de Polignac number, because 1800403087681 - 215 = 1800403054913 is a prime.

It is a super-2 number, since 2×18004030876812 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1800403087181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3291413050 + ... + 3291413596.

Almost surely, 21800403087681 is an apocalyptic number.

1800403087681 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1800403087681 is the 1341791-st square number.

1800403087681 is the 670896-th centered octagonal number.

It is an amenable number.

1800403087681 is a deficient number, since it is larger than the sum of its proper divisors (191107181312).

1800403087681 is an frugal number, since it uses more digits than its factorization.

1800403087681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1562 (or 781 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 46.

The spelling of 1800403087681 in words is "one trillion, eight hundred billion, four hundred three million, eighty-seven thousand, six hundred eighty-one".

Divisors: 1 11 121 223 547 2453 6017 26983 49729 66187 121981 299209 547019 1341791 3291299 6017209 14759701 27201763 36204289 66723607 299219393 733959677 3291413323 8073556447 14879364361 163673007971 1800403087681