Search a number
-
+
60091431138 = 23219230412
BaseRepresentation
bin110111111101101110…
…100111100011100010
312202002212121222200200
4313331232213203202
51441031401244023
643334451530030
74225056510534
oct677556474342
9182085558620
1060091431138
1123537056692
12b7905b9916
13588869065b
142ca0a93854
15186a7b3743
hexdfdba78e2

60091431138 has 54 divisors (see below), whose sum is σ = 137456493057. Its totient is φ = 18970001280.

The previous prime is 60091431083. The next prime is 60091431151. The reversal of 60091431138 is 83113419006.

60091431138 is a `hidden beast` number, since 6 + 0 + 0 + 91 + 431 + 138 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 38648807649 + 21442623489 = 196593^2 + 146433^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=173337.

It is a super-2 number, since 2×600914311382 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 19758898 + ... + 19761938.

Almost surely, 260091431138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 60091431138

60091431138 is an abundant number, since it is smaller than the sum of its proper divisors (77365061919).

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

60091431138 is an equidigital number, since it uses as much as digits as its factorization.

60091431138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6128 (or 3065 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 60091431138 in words is "sixty billion, ninety-one million, four hundred thirty-one thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 361 722 1083 2166 3041 3249 6082 6498 9123 18246 27369 54738 57779 115558 173337 346674 520011 1040022 1097801 2195602 3293403 6586806 9247681 9880209 18495362 19760418 27743043 55486086 83229129 166458258 175705939 351411878 527117817 1054235634 1581353451 3162706902 3338412841 6676825682 10015238523 20030477046 30045715569 60091431138