Search a number
-
+
11056763660488 = 2371343503702199
BaseRepresentation
bin1010000011100101101001…
…1110000110100011001000
31110011000102212111101212021
42200321122132012203020
52422123222444113423
635303223533454224
72220552624300010
oct240713236064310
943130385441767
1011056763660488
113583168923217
1212a6a5b941374
1362285752b040
142a32162a0c40
15142929c3195d
hexa0e5a7868c8

11056763660488 has 128 divisors (see below), whose sum is σ = 26160938496000. Its totient is φ = 4263881078016.

The previous prime is 11056763660479. The next prime is 11056763660489. The reversal of 11056763660488 is 88406636765011.

It is not an unprimeable number, because it can be changed into a prime (11056763660489) 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 31 ways as a sum of consecutive naturals, for example, 15394813 + ... + 16097011.

It is an arithmetic number, because the mean of its divisors is an integer number (204382332000).

Almost surely, 211056763660488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11056763660488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13080469248000).

11056763660488 is an abundant number, since it is smaller than the sum of its proper divisors (15104174835512).

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

11056763660488 is a wasteful number, since it uses less digits than its factorization.

11056763660488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 702771 (or 702767 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 11056763660488 in words is "eleven trillion, fifty-six billion, seven hundred sixty-three million, six hundred sixty thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 43 52 56 86 91 104 172 182 301 344 364 503 559 602 728 1006 1118 1204 2012 2236 2408 3521 3913 4024 4472 6539 7042 7826 13078 14084 15652 21629 26156 28168 31304 43258 45773 52312 86516 91546 151403 173032 183092 281177 302806 366184 562354 605612 702199 1124708 1211224 1404398 1968239 2249416 2808796 3936478 4915393 5617592 7872956 9128587 9830786 15745912 18257174 19661572 30194557 36514348 39323144 60389114 63900109 73028696 120778228 127800218 211361899 241556456 255600436 353206097 392529241 422723798 511200872 706412194 785058482 845447596 1412824388 1570116964 1690895192 2472442679 2747704687 2825648776 3140233928 4591679261 4944885358 5495409374 9183358522 9889770716 10990818748 15187862171 18366717044 19779541432 21981637496 30375724342 32141754827 36733434088 60751448684 64283509654 106315035197 121502897368 128567019308 197442208223 212630070394 257134038616 394884416446 425260140788 789768832892 850520281576 1382095457561 1579537665784 2764190915122 5528381830244 11056763660488