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61972249446 = 2331767507897
BaseRepresentation
bin111001101101110101…
…010111101101100110
312220221221201110101000
4321231311113231212
52003404343440241
644245240214130
74322505300042
oct715565275546
9186857643330
1061972249446
11243117a0288
121001646a346
135ac82393b3
142ddc7a7022
15192a982eb6
hexe6dd57b66

61972249446 has 32 divisors (see below), whose sum is σ = 145817059680. Its totient is φ = 19442274048.

The previous prime is 61972249433. The next prime is 61972249481. The reversal of 61972249446 is 64494227916.

61972249446 is a `hidden beast` number, since 6 + 1 + 97 + 22 + 494 + 46 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 61972249392 and 61972249401.

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, 33753031 + ... + 33754866.

It is an arithmetic number, because the mean of its divisors is an integer number (4556783115).

Almost surely, 261972249446 is an apocalyptic number.

61972249446 is an abundant number, since it is smaller than the sum of its proper divisors (83844810234).

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

61972249446 is a wasteful number, since it uses less digits than its factorization.

61972249446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67507925 (or 67507919 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 61972249446 in words is "sixty-one billion, nine hundred seventy-two million, two hundred forty-nine thousand, four hundred forty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 306 459 918 67507897 135015794 202523691 405047382 607571073 1147634249 1215142146 1822713219 2295268498 3442902747 3645426438 6885805494 10328708241 20657416482 30986124723 61972249446