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1834412904025 = 521326723112
BaseRepresentation
bin11010101100011011100…
…001111000111001011001
320111100221101111211010121
4122230123201320321121
5220023334200412100
63522415002513241
7246350314261222
oct32543341707131
96440841454117
101834412904025
11647a74296839
12257631205821
13103ca493a900
1464b00d30249
1532ab5cb951a
hex1ab1b878e59

1834412904025 has 81 divisors (see below), whose sum is σ = 2508483628413. Its totient is φ = 1330134062400.

The previous prime is 1834412904007. The next prime is 1834412904061. The reversal of 1834412904025 is 5204092144381.

The square root of 1834412904025 is 1354405.

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

It can be written as a sum of positive squares in 4 ways, for example, as 472822639641 + 1361590264384 = 687621^2 + 1166872^2 .

It is not a de Polignac number, because 1834412904025 - 29 = 1834412903513 is a prime.

It is a super-2 number, since 2×18344129040252 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5898433620 + ... + 5898433930.

Almost surely, 21834412904025 is an apocalyptic number.

1834412904025 is the 1354405-th square number.

1834412904025 is the 677203-rd centered octagonal number.

It is an amenable number.

1834412904025 is a deficient number, since it is larger than the sum of its proper divisors (674070724388).

1834412904025 is an frugal number, since it uses more digits than its factorization.

1834412904025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 792 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 43.

The spelling of 1834412904025 in words is "one trillion, eight hundred thirty-four billion, four hundred twelve million, nine hundred four thousand, twenty-five".

Divisors: 1 5 13 25 65 67 169 311 325 335 845 871 1555 1675 4043 4225 4355 4489 7775 11323 20215 20837 21775 22445 52559 56615 58357 96721 101075 104185 112225 262795 270881 283075 291785 483605 520925 758641 1257373 1313975 1354405 1396079 1458925 2418025 3521453 3793205 6286865 6480307 6772025 6980395 16345849 17607265 18149027 18966025 31434325 32401535 34901975 81729245 84243991 88036325 90745135 162007675 235937351 408646225 421219955 434180569 453725675 1095171883 1179686755 2106099775 2170902845 5475859415 5644347397 5898433775 10854514225 27379297075 28221736985 73376516161 141108684925 366882580805 1834412904025