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66741401412 = 2233791196907
BaseRepresentation
bin111110001010000110…
…001111011101000100
320101021022201110222000
4332022012033131010
52043141244321122
650354403505300
74551625360140
oct761206173504
9211238643860
1066741401412
1126339865794
1210b27688230
1363a82cc9ca
143331d36220
151b094da0ac
hexf8a18f744

66741401412 has 96 divisors (see below), whose sum is σ = 197971415040. Its totient is φ = 19047843360.

The previous prime is 66741401401. The next prime is 66741401453. The reversal of 66741401412 is 21410414766.

It is a happy number.

66741401412 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 640263 + ... + 737169.

It is an arithmetic number, because the mean of its divisors is an integer number (2062202240).

Almost surely, 266741401412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66741401412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98985707520).

66741401412 is an abundant number, since it is smaller than the sum of its proper divisors (131230013628).

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

66741401412 is a wasteful number, since it uses less digits than its factorization.

66741401412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97838 (or 97830 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 66741401412 in words is "sixty-six billion, seven hundred forty-one million, four hundred one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 911 1822 2733 3644 5466 6377 8199 10932 12754 16398 19131 24597 25508 32796 38262 49194 57393 76524 96907 98388 114786 172179 193814 229572 290721 344358 387628 581442 678349 688716 872163 1162884 1356698 1744326 2035047 2616489 2713396 3488652 4070094 5232978 6105141 8140188 10465956 12210282 18315423 24420564 36630846 73261692 88282277 176564554 264846831 353129108 529693662 617975939 794540493 1059387324 1235951878 1589080986 1853927817 2383621479 2471903756 3178161972 3707855634 4767242958 5561783451 7415711268 9534485916 11123566902 16685350353 22247133804 33370700706 66741401412