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11628018160144 = 24712120072
BaseRepresentation
bin1010100100110101101111…
…1001000101001000010000
31112011121221120121201222121
42221031123321011020100
53011003140122111034
640421500544144024
72310045062362411
oct251153371051020
945147846551877
1011628018160144
113783462122961
121379707908014
1366469598a139
142c2b28975808
151527111791b4
hexa935be45210

11628018160144 has 45 divisors (see below), whose sum is σ = 22852971574671. Its totient is φ = 5731644229920.

The previous prime is 11628018160141. The next prime is 11628018160153. The reversal of 11628018160144 is 44106181082611.

The square root of 11628018160144 is 3409988.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 11628018160144.

It is not an unprimeable number, because it can be changed into a prime (11628018160141) 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 8 ways as a sum of consecutive naturals, for example, 968430589 + ... + 968442595.

Almost surely, 211628018160144 is an apocalyptic number.

11628018160144 is the 3409988-th square number.

It is an amenable number.

11628018160144 is a deficient number, since it is larger than the sum of its proper divisors (11224953414527).

11628018160144 is an frugal number, since it uses more digits than its factorization.

11628018160144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24164 (or 12080 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 11628018160144 in words is "eleven trillion, six hundred twenty-eight billion, eighteen million, one hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 71 142 284 568 1136 5041 10082 12007 20164 24014 40328 48028 80656 96056 192112 852497 1704994 3409988 6819976 13639952 60527287 121054574 144168049 242109148 288336098 484218296 576672196 968436592 1153344392 2306688784 10235931479 20471862958 40943725916 81887451832 163774903664 726751135009 1453502270018 2907004540036 5814009080072 11628018160144