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919460443225 = 521722923892
BaseRepresentation
bin11010110000101000001…
…11001111010001011001
310020220021210001000201211
431120110013033101121
5110031023333140400
61542221100143121
7123300041546422
oct15302407172131
93226253030654
10919460443225
11324a394a4925
1212a245537aa1
136892143ba7c
1432705b7a649
1518db5c18dba
hexd6141cf459

919460443225 has 81 divisors (see below), whose sum is σ = 1257579054277. Its totient is φ = 666708904960.

The previous prime is 919460443217. The next prime is 919460443249. The reversal of 919460443225 is 522344064919.

The square root of 919460443225 is 958885.

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

It can be written as a sum of positive squares in 40 ways, for example, as 910274370889 + 9186072336 = 954083^2 + 95844^2 .

It is not a de Polignac number, because 919460443225 - 23 = 919460443217 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 (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2363651331 + ... + 2363651719.

Almost surely, 2919460443225 is an apocalyptic number.

919460443225 is the 958885-th square number.

919460443225 is the 479443-rd centered octagonal number.

It is an amenable number.

919460443225 is a deficient number, since it is larger than the sum of its proper divisors (338118611052).

919460443225 is an equidigital number, since it uses as much as digits as its factorization.

919460443225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 49.

Multiplying 919460443225 by its sum of digits (49), we get a square (45053561718025 = 67121952).

The spelling of 919460443225 in words is "nine hundred nineteen billion, four hundred sixty million, four hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 5 17 25 29 85 145 289 389 425 493 725 841 1445 1945 2465 4205 6613 7225 8381 9725 11281 12325 14297 21025 33065 41905 56405 71485 112421 151321 165325 191777 209525 243049 282025 327149 357425 562105 756605 958885 1215245 1635745 2572457 2810525 3260209 3783025 4388309 4794425 5561533 6076225 8178725 12862285 16301045 21941545 27807665 43731769 64311425 74601253 81505225 94546061 109707725 127260961 139038325 218658845 373006265 472730305 636304805 1093294225 1268221301 1865031325 2163436337 2363651525 3181524025 6341106505 10817181685 31705532525 36778417729 54085908425 183892088645 919460443225