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65053022463 = 321113223712381
BaseRepresentation
bin111100100101011101…
…100101100011111111
320012220122201221110100
4330211131211203333
52031212033204323
645515052012143
74462034365422
oct744535454377
9205818657410
1065053022463
112565280a690
1210736161053
136199591b00
1432119d79b9
151a5b17e943
hexf257658ff

65053022463 has 144 divisors (see below), whose sum is σ = 117506308608. Its totient is φ = 34306272000.

The previous prime is 65053022449. The next prime is 65053022471. The reversal of 65053022463 is 36422035056.

65053022463 is a `hidden beast` number, since 65 + 0 + 530 + 2 + 2 + 4 + 63 = 666.

It is not a de Polignac number, because 65053022463 - 26 = 65053022399 is a prime.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65053022663) by changing a digit.

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 143 ways as a sum of consecutive naturals, for example, 27320533 + ... + 27322913.

It is an arithmetic number, because the mean of its divisors is an integer number (816016032).

Almost surely, 265053022463 is an apocalyptic number.

65053022463 is a deficient number, since it is larger than the sum of its proper divisors (52453286145).

65053022463 is a wasteful number, since it uses less digits than its factorization.

65053022463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2518 (or 2502 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 65053022463 in words is "sixty-five billion, fifty-three million, twenty-two thousand, four hundred sixty-three".

Divisors: 1 3 9 11 13 23 33 39 69 71 99 117 143 169 207 213 253 299 429 507 639 759 781 897 923 1287 1521 1633 1859 2277 2343 2381 2691 2769 3289 3887 4899 5577 7029 7143 8307 9867 10153 11661 11999 14697 16731 17963 21229 21429 26191 29601 30459 30953 34983 35997 42757 53889 54763 63687 78573 91377 92859 107991 128271 131989 161667 164289 169051 191061 233519 235719 275977 278577 340483 384813 395967 402389 492867 507153 602393 700557 711919 827931 1021449 1187901 1207167 1521459 1807179 1859561 2101671 2135757 2197663 2483793 3035747 3064347 3621501 3888173 4426279 5421537 5578683 6407271 6592989 7831109 9107241 9254947 11664519 13278837 16736049 19778967 23493327 24174293 27321723 27764841 28569619 34993557 39836511 42769903 50546249 70479981 72522879 83294523 85708857 101804417 128309709 151638747 217568637 257126571 305413251 314265809 384929127 454916241 556008739 657101237 916239753 942797427 1668026217 1971303711 2828392281 5004078651 5913911133 7228113607 21684340821 65053022463