Search a number
-
+
18029488905090 = 23251315409819577
BaseRepresentation
bin1000001100101110100010…
…10010000001101110000010
32100211121021002012020122200
410012113101102001232002
54330343343124430330
6102202344410414030
73540405354046005
oct406272122015602
970747232166580
1018029488905090
1158212995060a3
12203229b431316
13a0a234276640
144648bbdb353c
15213ec5bc6a60
hex1065d1481b82

18029488905090 has 48 divisors (see below), whose sum is σ = 50482568937528. Its totient is φ = 4438028037888.

The previous prime is 18029488905089. The next prime is 18029488905139. The reversal of 18029488905090 is 9050988492081.

18029488905090 is a `hidden beast` number, since 1 + 8 + 0 + 2 + 9 + 48 + 89 + 0 + 509 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15996392203401 + 2033096701689 = 3999549^2 + 1425867^2 .

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7704908619 + ... + 7704910958.

Almost surely, 218029488905090 is an apocalyptic number.

18029488905090 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

18029488905090 is an abundant number, since it is smaller than the sum of its proper divisors (32453080032438).

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

18029488905090 is a wasteful number, since it uses less digits than its factorization.

18029488905090 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15409819603 (or 15409819600 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 63.

The spelling of 18029488905090 in words is "eighteen trillion, twenty-nine billion, four hundred eighty-eight million, nine hundred five thousand, ninety".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 1170 15409819577 30819639154 46229458731 77049097885 92458917462 138688376193 154098195770 200327654501 231147293655 277376752386 400655309002 462294587310 600982963503 693441880965 1001638272505 1201965927006 1386883761930 1802948890509 2003276545010 3004914817515 3605897781018 6009829635030 9014744452545 18029488905090