Search a number
-
+
61534601155164 = 22317301640201741
BaseRepresentation
bin11011111110111001001000…
…00010110001001001011100
322001212122120011012110101010
431333130210002301021130
531031140330343431124
6334512334443015220
715650504531506404
oct1577344402611134
9261778504173333
1061534601155164
111867475016a4a5
126a9999950a510
1328448c368cbb7
14112a40d529804
1571a9c9996529
hex37f7240b125c

61534601155164 has 24 divisors (see below), whose sum is σ = 152026661677968. Its totient is φ = 19304972911360.

The previous prime is 61534601155117. The next prime is 61534601155187. The reversal of 61534601155164 is 46155110643516.

61534601155164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×615346011551643 (a number of 42 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 7 ways as a sum of consecutive naturals, for example, 150820100667 + ... + 150820101074.

It is an arithmetic number, because the mean of its divisors is an integer number (6334444236582).

Almost surely, 261534601155164 is an apocalyptic number.

It is an amenable number.

61534601155164 is an abundant number, since it is smaller than the sum of its proper divisors (90492060522804).

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

61534601155164 is a wasteful number, since it uses less digits than its factorization.

61534601155164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 301640201765 (or 301640201763 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 48.

The spelling of 61534601155164 in words is "sixty-one trillion, five hundred thirty-four billion, six hundred one million, one hundred fifty-five thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 301640201741 603280403482 904920605223 1206560806964 1809841210446 3619682420892 5127883429597 10255766859194 15383650288791 20511533718388 30767300577582 61534601155164