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65164909522356 = 223271913610047937
BaseRepresentation
bin11101101000100011000110…
…10010001010110110110100
322112201201000120212100221200
432310101203102022312310
532020130213314203411
6350332202434212500
716504003130466210
oct1664214322126664
9275651016770850
1065164909522356
1119844312641616
127385490424130
132a4904207c787
141213dd9a61940
1578014ec94e56
hex3b446348adb4

65164909522356 has 72 divisors (see below), whose sum is σ = 198162297977280. Its totient is φ = 17638622125056.

The previous prime is 65164909522291. The next prime is 65164909522393. The reversal of 65164909522356 is 65322590946156.

It is a happy number.

65164909522356 is a `hidden beast` number, since 6 + 5 + 1 + 6 + 490 + 95 + 2 + 2 + 3 + 56 = 666.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 65164909522293 and 65164909522302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6805019181 + ... + 6805028756.

Almost surely, 265164909522356 is an apocalyptic number.

It is an amenable number.

65164909522356 is an abundant number, since it is smaller than the sum of its proper divisors (132997388454924).

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

65164909522356 is a wasteful number, since it uses less digits than its factorization.

65164909522356 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13610047973 (or 13610047968 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 63.

The spelling of 65164909522356 in words is "sixty-five trillion, one hundred sixty-four billion, nine hundred nine million, five hundred twenty-two thousand, three hundred fifty-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 171 228 252 266 342 399 532 684 798 1197 1596 2394 4788 13610047937 27220095874 40830143811 54440191748 81660287622 95270335559 122490431433 163320575244 190540671118 244980862866 258590910803 285811006677 381081342236 489961725732 517181821606 571622013354 775772732409 857433020031 1034363643212 1143244026708 1551545464818 1714866040062 1810136375621 2327318197227 3103090929636 3429732080124 3620272751242 4654636394454 5430409126863 7240545502484 9309272788908 10860818253726 16291227380589 21721636507452 32582454761178 65164909522356