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145520666064 = 2432191227701
BaseRepresentation
bin1000011110000110110…
…1010010010111010000
3111220121120210202212200
42013201231102113100
54341011242303224
6150503512523200
713341065152434
oct2074155222720
9456546722780
10145520666064
1156795693284
12242526b0500
13109515602c7
1470869049c4
153bba7245c9
hex21e1b525d0

145520666064 has 90 divisors (see below), whose sum is σ = 409413924738. Its totient is φ = 48251184000.

The previous prime is 145520666047. The next prime is 145520666069. The reversal of 145520666064 is 460666025541.

It can be written as a sum of positive squares in only one way, i.e., 119779672464 + 25740993600 = 346092^2 + 160440^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145520666069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 5239414 + ... + 5267114.

Almost surely, 2145520666064 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 145520666064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204706962369).

145520666064 is an abundant number, since it is smaller than the sum of its proper divisors (263893258674).

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

145520666064 is a wasteful number, since it uses less digits than its factorization.

145520666064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28097 (or 27897 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 145520666064 in words is "one hundred forty-five billion, five hundred twenty million, six hundred sixty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 191 382 573 764 1146 1528 1719 2292 3056 3438 4584 6876 9168 13752 27504 27701 36481 55402 72962 83103 109443 110804 145924 166206 218886 221608 249309 291848 328329 332412 437772 443216 498618 583696 656658 664824 875544 997236 1313316 1329648 1751088 1994472 2626632 3988944 5253264 5290891 10581782 15872673 21163564 31745346 42327128 47618019 63490692 84654256 95236038 126981384 190472076 253962768 380944152 761888304 1010560181 2021120362 3031680543 4042240724 6063361086 8084481448 9095041629 12126722172 16168962896 18190083258 24253444344 36380166516 48506888688 72760333032 145520666064