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2957198705 = 517791992213
BaseRepresentation
bin1011000001000011…
…0100010101110001
321122002111020222222
42300100310111301
522024020324310
61205235010425
7133165526366
oct26020642561
97562436888
102957198705
11128829717a
126a6439a15
13381879926
14200a6446d
1512493c055
hexb0434571

2957198705 has 32 divisors (see below), whose sum is σ = 3825792000. Its totient is φ = 2186376192.

The previous prime is 2957198681. The next prime is 2957198723. The reversal of 2957198705 is 5078917592.

It is a happy number.

It is not a de Polignac number, because 2957198705 - 212 = 2957194609 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1335179 + ... + 1337391.

It is an arithmetic number, because the mean of its divisors is an integer number (119556000).

Almost surely, 22957198705 is an apocalyptic number.

It is an amenable number.

2957198705 is a deficient number, since it is larger than the sum of its proper divisors (868593295).

2957198705 is a wasteful number, since it uses less digits than its factorization.

2957198705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2513.

The product of its (nonzero) digits is 1587600, while the sum is 53.

The square root of 2957198705 is about 54380.1315279763. The cubic root of 2957198705 is about 1435.3577849063.

The spelling of 2957198705 in words is "two billion, nine hundred fifty-seven million, one hundred ninety-eight thousand, seven hundred five".

Divisors: 1 5 17 79 85 199 395 995 1343 2213 3383 6715 11065 15721 16915 37621 78605 174827 188105 267257 440387 874135 1336285 2201935 2972059 7486579 14860295 34790573 37432895 173952865 591439741 2957198705