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849835078225 = 5272263392
BaseRepresentation
bin11000101110111100001…
…11100011001001010001
310000020120110122000110121
430113132013203021101
5102410430240000400
61450224151030241
7115253463656200
oct14273607431121
93006513560417
10849835078225
112a845a823661
1211885406b381
13621a67c4643
142d1bcc05237
151718d45b21a
hexc5de1e3251

849835078225 has 27 divisors (see below), whose sum is σ = 1225890284187. Its totient is φ = 582721928880.

The previous prime is 849835078219. The next prime is 849835078231. The reversal of 849835078225 is 522870538948.

The square root of 849835078225 is 921865.

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

849835078225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (849835078219) and next prime (849835078231).

It can be written as a sum of positive squares in only one way, i.e., 305940628161 + 543894450064 = 553119^2 + 737492^2 .

It is not a de Polignac number, because 849835078225 - 211 = 849835076177 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 32252106 + ... + 32278444.

Almost surely, 2849835078225 is an apocalyptic number.

849835078225 is the 921865-th square number.

849835078225 is the 460933-rd centered octagonal number.

It is an amenable number.

849835078225 is a deficient number, since it is larger than the sum of its proper divisors (376055205962).

849835078225 is an frugal number, since it uses more digits than its factorization.

849835078225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52702 (or 26351 counting only the distinct ones).

The product of its (nonzero) digits is 38707200, while the sum is 61.

The spelling of 849835078225 in words is "eight hundred forty-nine billion, eight hundred thirty-five million, seventy-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 25 35 49 175 245 1225 26339 131695 184373 658475 921865 1290611 4609325 6453055 32265275 693742921 3468714605 4856200447 17343573025 24281002235 33993403129 121405011175 169967015645 849835078225