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61444408212 = 223211155162647
BaseRepresentation
bin111001001110010111…
…110100001110010100
312212121011111100022200
4321032113310032110
52001314232030322
644121022524500
74303435565235
oct711627641624
9185534440280
1061444408212
1124070848360
12baa9736730
135a42a86ac5
142d8c64508c
1518e946a8ac
hexe4e5f4394

61444408212 has 36 divisors (see below), whose sum is σ = 169437611616. Its totient is φ = 18619517520.

The previous prime is 61444408187. The next prime is 61444408217. The reversal of 61444408212 is 21280444416.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61444408217) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 77580928 + ... + 77581719.

Almost surely, 261444408212 is an apocalyptic number.

It is an amenable number.

61444408212 is an abundant number, since it is smaller than the sum of its proper divisors (107993203404).

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

61444408212 is a wasteful number, since it uses less digits than its factorization.

61444408212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155162668 (or 155162663 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 61444408212 in words is "sixty-one billion, four hundred forty-four million, four hundred eight thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 155162647 310325294 465487941 620650588 930975882 1396463823 1706789117 1861951764 2792927646 3413578234 5120367351 5585855292 6827156468 10240734702 15361102053 20481469404 30722204106 61444408212