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550571420025 = 345211214992
BaseRepresentation
bin10000000001100001001…
…11010010100101111001
31221122010021021000210000
420000300213102211321
533010032240420100
61100532400143213
754530446565604
oct10006047224571
91848107230700
10550571420025
111a2550238900
128a855307b09
133cbc33ba853
141c90d7bb33b
15e4c574c900
hex80309d2979

550571420025 has 135 divisors (see below), whose sum is σ = 1121738924383. Its totient is φ = 266765637600.

The previous prime is 550571420017. The next prime is 550571420029. The reversal of 550571420025 is 520024175055.

The square root of 550571420025 is 742005.

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

550571420025 is a `hidden beast` number, since 5 + 505 + 7 + 142 + 0 + 0 + 2 + 5 = 666.

It can be written as a sum of positive squares in only one way, i.e., 198205711209 + 352365708816 = 445203^2 + 593604^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 550571420025 - 23 = 550571420017 is a prime.

It is not an unprimeable number, because it can be changed into a prime (550571420029) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 367291726 + ... + 367293224.

Almost surely, 2550571420025 is an apocalyptic number.

550571420025 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

550571420025 is the 742005-th square number.

550571420025 is the 371003-rd centered octagonal number.

It is an amenable number.

550571420025 is an abundant number, since it is smaller than the sum of its proper divisors (571167504358).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

550571420025 is an equidigital number, since it uses as much as digits as its factorization.

550571420025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3042 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 70000, while the sum is 36.

Multiplying 550571420025 by its sum of digits (36), we get a square (19820571120900 = 44520302).

The spelling of 550571420025 in words is "five hundred fifty billion, five hundred seventy-one million, four hundred twenty thousand, twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 81 99 121 135 165 225 275 297 363 405 495 605 675 825 891 1089 1485 1499 1815 2025 2475 3025 3267 4455 4497 5445 7425 7495 9075 9801 13491 16335 16489 22275 22485 27225 37475 40473 49005 49467 67455 81675 82445 112425 121419 148401 181379 202365 245025 247335 337275 412225 445203 544137 607095 742005 906895 1011825 1236675 1335609 1632411 2226015 2247001 2720685 3035475 3710025 4534475 4897233 6678045 6741003 8162055 11130075 11235005 13603425 14691699 20223009 24486165 24717011 33390225 33705015 40810275 56175025 60669027 73458495 74151033 101115045 122430825 123585055 168525075 182007081 222453099 271887121 303345135 367292475 370755165 505575225 617925275 667359297 815661363 910035405 1112265495 1359435605 1516725675 1853775825 2002077891 2446984089 3336796485 4078306815 4550177025 5561327475 6797178025 7340952267 10010389455 12234920445 16683982425 20391534075 22022856801 36704761335 50051947275 61174602225 110114284005 183523806675 550571420025