Search a number
-
+
61515307854168 = 2337665415502811
BaseRepresentation
bin11011111110010101001100…
…00100101010100101011000
322001210210202120110012220120
431333022212010222211120
531030331322302313133
6334455424200353240
715646222450244430
oct1577124604524530
9261723676405816
1061515307854168
111866754a645943
126a960b4175820
132842b3a52b86c
1411294dd0432c0
1571a24acc2ab3
hex37f2a612a958

61515307854168 has 64 divisors (see below), whose sum is σ = 175760695729920. Its totient is φ = 17575534915200.

The previous prime is 61515307854041. The next prime is 61515307854191. The reversal of 61515307854168 is 86145870351516.

61515307854168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 8427483 + ... + 13930293.

It is an arithmetic number, because the mean of its divisors is an integer number (2746260870780).

Almost surely, 261515307854168 is an apocalyptic number.

It is an amenable number.

61515307854168 is an abundant number, since it is smaller than the sum of its proper divisors (114245387875752).

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

61515307854168 is a wasteful number, since it uses less digits than its factorization.

61515307854168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5569368 (or 5569364 counting only the distinct ones).

The product of its (nonzero) digits is 24192000, while the sum is 60.

The spelling of 61515307854168 in words is "sixty-one trillion, five hundred fifteen billion, three hundred seven million, eight hundred fifty-four thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 66541 133082 199623 266164 399246 465787 532328 798492 931574 1397361 1596984 1863148 2794722 3726296 5502811 5589444 11005622 11178888 16508433 22011244 33016866 38519677 44022488 66033732 77039354 115559031 132067464 154078708 231118062 308157416 462236124 924472248 366162546751 732325093502 1098487640253 1464650187004 2196975280506 2563137827257 2929300374008 4393950561012 5126275654514 7689413481771 8787901122024 10252551309028 15378826963542 20505102618056 30757653927084 61515307854168