Search a number
-
+
85661345088 = 26321113519783
BaseRepresentation
bin100111111000111010…
…0000110010101000000
322012002212221012110200
41033301310012111000
52400413301020323
6103204031525200
76121524263604
oct1176164062500
9265085835420
1085661345088
1133368661480
1214727989800
138101cba557
1442089d1504
15236550e443
hex13f1d06540

85661345088 has 84 divisors (see below), whose sum is σ = 267853960608. Its totient is φ = 25957981440.

The previous prime is 85661345087. The next prime is 85661345089. The reversal of 85661345088 is 88054316658.

85661345088 is a `hidden beast` number, since 8 + 56 + 61 + 3 + 450 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (85661345087) and next prime (85661345089).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85661345087) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6753556 + ... + 6766227.

Almost surely, 285661345088 is an apocalyptic number.

85661345088 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85661345088 is an abundant number, since it is smaller than the sum of its proper divisors (182192615520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

85661345088 is a wasteful number, since it uses less digits than its factorization.

85661345088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13519812 (or 13519799 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 85661345088 in words is "eighty-five billion, six hundred sixty-one million, three hundred forty-five thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 13519783 27039566 40559349 54079132 81118698 108158264 121678047 148717613 162237396 216316528 243356094 297435226 324474792 432633056 446152839 486712188 594870452 648949584 865266112 892305678 973424376 1189740904 1297899168 1338458517 1784611356 1946848752 2379481808 2595798336 2676917034 3569222712 3893697504 4758963616 5353834068 7138445424 7787395008 9517927232 10707668136 14276890848 21415336272 28553781696 42830672544 85661345088