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1290228427025 = 521724120872
BaseRepresentation
bin10010110001100111100…
…110110110100100010001
311120100022020102010001222
4102301213212312210101
5132114341434131100
62424420040534425
7162134030451416
oct22614746664421
94510266363058
101290228427025
1145820134684a
1218a07aa81415
139488b8382b5
14466398c810d
1523866139485
hex12c679b6911

1290228427025 has 54 divisors (see below), whose sum is σ = 1741816510098. Its totient is φ = 947317683200.

The previous prime is 1290228427003. The next prime is 1290228427027. The reversal of 1290228427025 is 5207248220921.

It can be written as a sum of positive squares in 9 ways, for example, as 319877342929 + 970351084096 = 565577^2 + 985064^2 .

It is not a de Polignac number, because 1290228427025 - 228 = 1289959991569 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1290228427027) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 618220532 + ... + 618222618.

Almost surely, 21290228427025 is an apocalyptic number.

It is an amenable number.

1290228427025 is a deficient number, since it is larger than the sum of its proper divisors (451588083073).

1290228427025 is an frugal number, since it uses more digits than its factorization.

1290228427025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 2150 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 44.

The spelling of 1290228427025 in words is "one trillion, two hundred ninety billion, two hundred twenty-eight million, four hundred twenty-seven thousand, twenty-five".

Divisors: 1 5 17 25 41 85 205 289 425 697 1025 1445 2087 3485 7225 10435 11849 17425 35479 52175 59245 85567 177395 296225 427835 603143 886975 1454639 2139175 3015715 4355569 7273195 15078575 21777845 24728863 36365975 74044673 108889225 123644315 178578329 370223365 618221575 892891645 1258759441 1851116825 3035831593 4464458225 6293797205 15179157965 31468986025 51609137081 75895789825 258045685405 1290228427025