Search a number
-
+
11055431504 = 2413192295077
BaseRepresentation
bin10100100101111010…
…00111111101010000
31001112110202002222002
422102331013331100
5140120142302004
65025004133132
7540651421505
oct122275077520
931473662862
1011055431504
114763559357
1221865371a8
131072565060
1476c3bd4ac
1544a88d61e
hex292f47f50

11055431504 has 120 divisors (see below), whose sum is σ = 25190028360. Its totient is φ = 4666346496.

The previous prime is 11055431503. The next prime is 11055431521. The reversal of 11055431504 is 40513455011.

It can be written as a sum of positive squares in 4 ways, for example, as 2710243600 + 8345187904 = 52060^2 + 91352^2 .

It is a super-3 number, since 3×110554315043 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11055431503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2175014 + ... + 2180090.

It is an arithmetic number, because the mean of its divisors is an integer number (209916903).

Almost surely, 211055431504 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 11055431504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12595014180).

11055431504 is an abundant number, since it is smaller than the sum of its proper divisors (14134596856).

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

11055431504 is a wasteful number, since it uses less digits than its factorization.

11055431504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5165 (or 5140 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 29.

Adding to 11055431504 its reverse (40513455011), we get a palindrome (51568886515).

The spelling of 11055431504 in words is "eleven billion, fifty-five million, four hundred thirty-one thousand, five hundred four".

Divisors: 1 2 4 8 13 16 19 26 29 38 52 58 76 104 116 152 208 232 247 304 361 377 464 494 551 722 754 988 1102 1444 1508 1976 2204 2888 3016 3952 4408 4693 5077 5776 6032 7163 8816 9386 10154 10469 14326 18772 20308 20938 28652 37544 40616 41876 57304 66001 75088 81232 83752 96463 114608 132002 136097 147233 167504 192926 264004 272194 294466 385852 528008 544388 588932 771704 1056016 1088776 1177864 1254019 1543408 1832797 1914029 2177552 2355728 2508038 2797427 3665594 3828058 5016076 5594854 7331188 7656116 10032152 11189708 14662376 15312232 20064304 22379416 23826361 29324752 30624464 36366551 44758832 47652722 53151113 72733102 95305444 106302226 145466204 190610888 212604452 290932408 381221776 425208904 581864816 690964469 850417808 1381928938 2763857876 5527715752 11055431504