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2690185689 = 361721132
BaseRepresentation
bin1010000001011000…
…1111100111011001
320221111001121000000
42200112033213121
521002141420224
61122540003213
7123444125652
oct24026174731
96844047000
102690185689
1111605a3364
12630b30509
1333b45b569
141b73da529
1510b2970c9
hexa058f9d9

2690185689 has 63 divisors (see below), whose sum is σ = 4322903533. Its totient is φ = 1673021952.

The previous prime is 2690185643. The next prime is 2690185703. The reversal of 2690185689 is 9865810962.

It is a happy number.

The square root of 2690185689 is 51867.

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

2690185689 is a `hidden beast` number, since 2 + 69 + 0 + 18 + 568 + 9 = 666.

2690185689 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 328225689 + 2361960000 = 18117^2 + 48600^2 .

It is not a de Polignac number, because 2690185689 - 211 = 2690183641 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2690185189) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 23806897 + ... + 23807009.

Almost surely, 22690185689 is an apocalyptic number.

2690185689 is the 51867-th square number.

2690185689 is the 25934-th centered octagonal number.

It is an amenable number.

2690185689 is a deficient number, since it is larger than the sum of its proper divisors (1632717844).

2690185689 is an frugal number, since it uses more digits than its factorization.

2690185689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 54.

The cubic root of 2690185689 is about 1390.7874166292.

The spelling of 2690185689 in words is "two billion, six hundred ninety million, one hundred eighty-five thousand, six hundred eighty-nine".

Divisors: 1 3 9 17 27 51 81 113 153 243 289 339 459 729 867 1017 1377 1921 2601 3051 4131 5763 7803 9153 12393 12769 17289 23409 27459 32657 38307 51867 70227 82377 97971 114921 155601 210681 217073 293913 344763 466803 651219 881739 1034289 1400409 1953657 2645217 3102867 3690241 5860971 7935651 9308601 11070723 17582913 23806953 33212169 52748739 99636507 158246217 298909521 896728563 2690185689