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2855691034641 = 3219223212892
BaseRepresentation
bin101001100011100100011…
…100110010000000010001
3101010000001000111021110100
4221203210130302000101
5333241423401102031
610023515241323013
7413213454201414
oct51434434620021
911100030437410
102855691034641
11a01101161145
123a1551196469
131793a132ca83
149c3052c9b7b
154e43a5bbde6
hex298e4732011

2855691034641 has 81 divisors (see below), whose sum is σ = 4554454294299. Its totient is φ = 1723838808384.

The previous prime is 2855691034633. The next prime is 2855691034657. The reversal of 2855691034641 is 1464301965582.

The square root of 2855691034641 is 1689879.

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

2855691034641 is a `hidden beast` number, since 2 + 8 + 5 + 569 + 1 + 0 + 34 + 6 + 41 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2316700129041 + 538990905600 = 1522071^2 + 734160^2 .

It is not a de Polignac number, because 2855691034641 - 23 = 2855691034633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2855691034681) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2215430725 + ... + 2215432013.

Almost surely, 22855691034641 is an apocalyptic number.

2855691034641 is the 1689879-th square number.

2855691034641 is the 844940-th centered octagonal number.

It is an amenable number.

2855691034641 is a deficient number, since it is larger than the sum of its proper divisors (1698763259658).

2855691034641 is an equidigital number, since it uses as much as digits as its factorization.

2855691034641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2668 (or 1334 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 2855691034641 in words is "two trillion, eight hundred fifty-five billion, six hundred ninety-one million, thirty-four thousand, six hundred forty-one".

Divisors: 1 3 9 19 23 57 69 171 207 361 437 529 1083 1289 1311 1587 3249 3867 3933 4761 8303 10051 11601 24491 24909 29647 30153 73473 74727 88941 90459 190969 220419 266823 465329 563293 572907 681881 1395987 1661521 1689879 1718721 2045643 4187961 4984563 5069637 6136929 10702567 12955739 14953689 31568899 32107701 38214983 38867217 94706697 96323103 114644949 116601651 246159041 284120091 343934847 599809081 726084677 738477123 878944609 1799427243 2178254031 2215431369 2636833827 5398281729 6534762093 7910501481 13795608863 16699947571 41386826589 50099842713 124160479767 150299528139 317299003849 951897011547 2855691034641