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61849240101 = 32111913270889
BaseRepresentation
bin111001100110100000…
…001000001000100101
312220122101020221021100
4321212200020020211
52003131401140401
644225123510313
74316452603155
oct714640101045
9186571227240
1061849240101
1124259313570
12bba1228399
135aa88ca7bc
142dca306765
15191ec85b86
hexe66808225

61849240101 has 24 divisors (see below), whose sum is σ = 97969697280. Its totient is φ = 37288123200.

The previous prime is 61849239971. The next prime is 61849240139. The reversal of 61849240101 is 10104294816.

61849240101 is a `hidden beast` number, since 61 + 8 + 492 + 4 + 0 + 101 = 666.

It is not a de Polignac number, because 61849240101 - 29 = 61849239589 is a prime.

It is a super-2 number, since 2×618492401012 (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61849240601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1616536 + ... + 1654353.

It is an arithmetic number, because the mean of its divisors is an integer number (4082070720).

Almost surely, 261849240101 is an apocalyptic number.

It is an amenable number.

61849240101 is a deficient number, since it is larger than the sum of its proper divisors (36120457179).

61849240101 is a wasteful number, since it uses less digits than its factorization.

61849240101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3271097 (or 3271094 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 61849240101 in words is "sixty-one billion, eight hundred forty-nine million, two hundred forty thousand, one hundred one".

Divisors: 1 3 9 11 33 99 191 573 1719 2101 6303 18909 3270889 9812667 29438001 35979779 107939337 323818011 624739799 1874219397 5622658191 6872137789 20616413367 61849240101