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1830503467521 = 341503292
BaseRepresentation
bin11010101000110010100…
…000100100101000000001
320110222211221012212110000
4122220302200210220001
5214442332341430041
63520531030030213
7246151403515161
oct32506240445001
96428757185400
101830503467521
11646348539283
1225691baa8369
13103800a07781
146484da325a1
1532937982bb6
hex1aa32824a01

1830503467521 has 15 divisors (see below), whose sum is σ = 2734473987091. Its totient is φ = 1220327527248.

The previous prime is 1830503467519. The next prime is 1830503467547. The reversal of 1830503467521 is 1257643050381.

It is a happy number.

The square root of 1830503467521 is 1352961.

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

1830503467521 is a `hidden beast` number, since 1 + 8 + 30 + 5 + 0 + 34 + 67 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1553111645121 + 277391822400 = 1246239^2 + 526680^2 .

It is not a de Polignac number, because 1830503467521 - 21 = 1830503467519 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1830503467561) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 12101485 + ... + 12251813.

Almost surely, 21830503467521 is an apocalyptic number.

1830503467521 is the 1352961-st square number.

1830503467521 is the 676481-st centered octagonal number.

It is an amenable number.

1830503467521 is a deficient number, since it is larger than the sum of its proper divisors (903970519570).

1830503467521 is an frugal number, since it uses more digits than its factorization.

1830503467521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300670 (or 150332 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 1830503467521 in words is "one trillion, eight hundred thirty billion, five hundred three million, four hundred sixty-seven thousand, five hundred twenty-one".

Divisors: 1 3 9 27 81 150329 450987 1352961 4058883 12176649 22598808241 67796424723 203389274169 610167822507 1830503467521