Search a number
-
+
11341472496084 = 2234733235720261
BaseRepresentation
bin1010010100001010010001…
…1100000111100111010100
31111011020022201101210110000
42211002210130013213110
52441304313424333314
640042111152131300
72250252155413203
oct245024434074724
944136281353400
1011341472496084
113682989609365
121332078236b30
1364365b3b7673
142b2d0466923a
1514a03ec65209
hexa50a47079d4

11341472496084 has 120 divisors (see below), whose sum is σ = 29703360217608. Its totient is φ = 3773545263360.

The previous prime is 11341472496037. The next prime is 11341472496089. The reversal of 11341472496084 is 48069427414311.

It is a happy number.

11341472496084 is a `hidden beast` number, since 1 + 1 + 3 + 4 + 1 + 4 + 7 + 24 + 9 + 608 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 451987290000 + 10889485206084 = 672300^2 + 3299922^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 11341472496084.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11341472496089) 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 39 ways as a sum of consecutive naturals, for example, 559758514 + ... + 559778774.

Almost surely, 211341472496084 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 11341472496084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14851680108804).

11341472496084 is an abundant number, since it is smaller than the sum of its proper divisors (18361887721524).

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

11341472496084 is a wasteful number, since it uses less digits than its factorization.

11341472496084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23367 (or 23356 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 11341472496084 in words is "eleven trillion, three hundred forty-one billion, four hundred seventy-two million, four hundred ninety-six thousand, eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 733 1466 2199 2357 2932 4398 4714 6597 7071 8796 9428 13194 14142 19791 20261 21213 26388 28284 39582 40522 42426 59373 60783 63639 79164 81044 84852 118746 121566 127278 182349 190917 237492 243132 254556 364698 381834 547047 729396 763668 1094094 1641141 1727681 2188188 3282282 3455362 5183043 6564564 6910724 10366086 14851313 15549129 20732172 29702626 31098258 44553939 46647387 47755177 59405252 62196516 89107878 93294774 95510354 133661817 139942161 143265531 178215756 186589548 191020708 267323634 279884322 286531062 400985451 429796593 534647268 559768644 573062124 801970902 859593186 1202956353 1289389779 1603941804 1719186372 2405912706 2578779558 3868169337 4811825412 5157559116 7736338674 15472677348 35004544741 70009089482 105013634223 140018178964 210027268446 315040902669 420054536892 630081805338 945122708007 1260163610676 1890245416014 2835368124021 3780490832028 5670736248042 11341472496084