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841998936025 = 521321927432
BaseRepresentation
bin11000100000010110000…
…11000010011111011001
32222111100100112202012201
430100023003002133121
5102243403211423100
61442450423210201
7114555342603442
oct14201303023731
92874310482181
10841998936025
112a50a94a2a85
121172278a6961
13615281c2c00
142ca781d22c9
1516d8052b36a
hexc40b0c27d9

841998936025 has 81 divisors (see below), whose sum is σ = 1194813976509. Its totient is φ = 588265554240.

The previous prime is 841998936019. The next prime is 841998936041. The reversal of 841998936025 is 520639899148.

The square root of 841998936025 is 917605.

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 217026471321 + 624972464704 = 465861^2 + 790552^2 .

It is not a de Polignac number, because 841998936025 - 23 = 841998936017 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 80 ways as a sum of consecutive naturals, for example, 1133241804 + ... + 1133242546.

Almost surely, 2841998936025 is an apocalyptic number.

841998936025 is the 917605-th square number.

841998936025 is the 458803-rd centered octagonal number.

It is an amenable number.

841998936025 is a deficient number, since it is larger than the sum of its proper divisors (352815040484).

841998936025 is an equidigital number, since it uses as much as digits as its factorization.

841998936025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1560 (or 780 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 64.

Multiplying 841998936025 by its sum of digits (64), we get a square (53887931905600 = 73408402).

The spelling of 841998936025 in words is "eight hundred forty-one billion, nine hundred ninety-eight million, nine hundred thirty-six thousand, twenty-five".

Divisors: 1 5 13 19 25 65 95 169 247 325 361 475 743 845 1235 1805 3211 3715 4225 4693 6175 9025 9659 14117 16055 18575 23465 48295 61009 70585 80275 117325 125567 183521 241475 268223 305045 352925 552049 627835 917605 1341115 1525225 2385773 2760245 3139175 3486899 4588025 6705575 7176637 10488931 11928865 13801225 17434495 35883185 45329687 52444655 59644325 87172475 93296281 136356103 179415925 199289689 226648435 262223275 466481405 681780515 996448445 1133242175 1772629339 2332407025 2590765957 3408902575 4982242225 8863146695 12953829785 33679957441 44315733475 64769148925 168399787205 841998936025