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60090187689 = 367212972
BaseRepresentation
bin110111111101101001…
…110111111110101001
312202002210021211000000
4313331221313332221
51441031042001224
643334405133213
74225043111400
oct677551677651
9182083254000
1060090187689
1123536387444
12b7900ba209
13588834669c
142ca084c637
15186a61a0c9
hexdfda77fa9

60090187689 has 63 divisors (see below), whose sum is σ = 104884169607. Its totient is φ = 34310775744.

The previous prime is 60090187669. The next prime is 60090187709. The reversal of 60090187689 is 98678109006.

The square root of 60090187689 is 245133.

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

It is an interprime number because it is at equal distance from previous prime (60090187669) and next prime (60090187709).

It can be written as a sum of positive squares in only one way, i.e., 59905010025 + 185177664 = 244755^2 + 13608^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 60090187689 - 225 = 60056633257 is a prime.

It is a super-2 number, since 2×600901876892 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (60090187649) 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, 46329489 + ... + 46330785.

It is an arithmetic number, because the mean of its divisors is an integer number (1664828089).

Almost surely, 260090187689 is an apocalyptic number.

60090187689 is the 245133-rd square number.

60090187689 is the 122567-th centered octagonal number.

It is an amenable number.

60090187689 is a deficient number, since it is larger than the sum of its proper divisors (44793981918).

60090187689 is an frugal number, since it uses more digits than its factorization.

60090187689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2626 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 54.

The spelling of 60090187689 in words is "sixty billion, ninety million, one hundred eighty-seven thousand, six hundred eighty-nine".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1297 1323 1701 3891 3969 5103 9079 11673 11907 27237 35019 35721 63553 81711 105057 190659 245133 315171 571977 735399 945513 1682209 1715931 2206197 5046627 5147793 6618591 11775463 15139881 15443379 35326389 45419643 46330137 82428241 105979167 136258929 247284723 317937501 408776787 741854169 953812503 1226330361 2225562507 2861437509 6676687521 8584312527 20030062563 60090187689