Search a number
-
+
53073774780624 = 243213101183280199
BaseRepresentation
bin11000001000101001100110…
…11111100010000011010000
320221220210200121200201000100
430010110303133202003100
523424030042320434444
6304513431110252400
714115311421106203
oct1404246337420320
9227823617621010
1053073774780624
1115a02509262444
125b52077957100
13237cab2744910
14d16ada5a193a
1562088609ce69
hex3045337e20d0

53073774780624 has 120 divisors (see below), whose sum is σ = 159960611865600. Its totient is φ = 16330172564736.

The previous prime is 53073774780623. The next prime is 53073774780713. The reversal of 53073774780624 is 42608747737035.

53073774780624 is a `hidden beast` number, since 5 + 3 + 0 + 73 + 77 + 478 + 0 + 6 + 24 = 666.

It is a Cunningham number, because it is equal to 72851752-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53073774780623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 189274477 + ... + 189554675.

It is an arithmetic number, because the mean of its divisors is an integer number (1333005098880).

Almost surely, 253073774780624 is an apocalyptic number.

It is an amenable number.

53073774780624 is an abundant number, since it is smaller than the sum of its proper divisors (106886837084976).

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

53073774780624 is a wasteful number, since it uses less digits than its factorization.

53073774780624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381409 (or 381400 counting only the distinct ones).

The product of its (nonzero) digits is 165957120, while the sum is 63.

It can be divided in two parts, 5307377 and 4780624, that added together give a palindrome (10088001).

The spelling of 53073774780624 in words is "fifty-three trillion, seventy-three billion, seven hundred seventy-four million, seven hundred eighty thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 101183 202366 280199 303549 404732 560398 607098 809464 840597 910647 1120796 1214196 1315379 1618928 1681194 1821294 2241592 2428392 2521791 2630758 3362388 3642587 3642588 3946137 4483184 4856784 5043582 5261516 6724776 7285174 7285176 7892274 10087164 10523032 10927761 11838411 13449552 14570348 14570352 15784548 20174328 21046064 21855522 23676822 29140696 31569096 32783283 40348656 43711044 47353644 58281392 63138192 65566566 87422088 94707288 131133132 174844176 189414576 262266264 524532528 28351375417 56702750834 85054126251 113405501668 170108252502 226811003336 255162378753 340216505004 368567880421 453622006672 510324757506 680433010008 737135760842 1020649515012 1105703641263 1360866020016 1474271521684 2041299030024 2211407282526 2948543043368 3317110923789 4082598060048 4422814565052 5897086086736 6634221847578 8845629130104 13268443695156 17691258260208 26536887390312 53073774780624