Search a number
-
+
53026121101728 = 2535330733947233
BaseRepresentation
bin11000000111010000110110…
…00111001011000110100000
320221202020200112212222212010
430003220123013023012200
523422234444000223403
6304435510322432520
714112003466400565
oct1403503307130640
9227666615788763
1053026121101728
1115994284a79145
125b44998802740
132378459b17a98
14d1469971a86c
1561e4e76c9603
hex303a1b1cb1a0

53026121101728 has 96 divisors (see below), whose sum is σ = 142281819763776. Its totient is φ = 17285387378688.

The previous prime is 53026121101699. The next prime is 53026121101729. The reversal of 53026121101728 is 82710112162035.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (53026121101729) 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 15 ways as a sum of consecutive naturals, for example, 15411601 + ... + 18535632.

It is an arithmetic number, because the mean of its divisors is an integer number (1482102289206).

Almost surely, 253026121101728 is an apocalyptic number.

It is an amenable number.

53026121101728 is an abundant number, since it is smaller than the sum of its proper divisors (89255698662048).

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

53026121101728 is a wasteful number, since it uses less digits than its factorization.

53026121101728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33947606 (or 33947598 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The spelling of 53026121101728 in words is "fifty-three trillion, twenty-six billion, one hundred twenty-one million, one hundred one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 307 318 424 614 636 848 921 1228 1272 1696 1842 2456 2544 3684 4912 5088 7368 9824 14736 16271 29472 32542 48813 65084 97626 130168 195252 260336 390504 520672 781008 1562016 33947233 67894466 101841699 135788932 203683398 271577864 407366796 543155728 814733592 1086311456 1629467184 1799203349 3258934368 3598406698 5397610047 7196813396 10421800531 10795220094 14393626792 20843601062 21590440188 28787253584 31265401593 41687202124 43180880376 57574507168 62530803186 83374404248 86361760752 125061606372 166748808496 172723521504 250123212744 333497616992 500246425488 552355428143 1000492850976 1104710856286 1657066284429 2209421712572 3314132568858 4418843425144 6628265137716 8837686850288 13256530275432 17675373700576 26513060550864 53026121101728