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11369530384 = 24192232612
BaseRepresentation
bin10101001011010110…
…10100010000010000
31002100100202222121221
422211223110100100
5141241044433014
65120104254424
7551514261622
oct124553242020
932310688557
1011369530384
114904892503
122253771414
1310c265b294
1479bdc2c12
15468234b24
hex2a5ad4410

11369530384 has 135 divisors (see below), whose sum is σ = 24708600189. Its totient is φ = 5066962560.

The previous prime is 11369530357. The next prime is 11369530397. The reversal of 11369530384 is 48303596311.

The square root of 11369530384 is 106628.

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

It can be written as a sum of positive squares in only one way, i.e., 369715984 + 10999814400 = 19228^2 + 104880^2 .

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 11369530384.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 186385714 + ... + 186385774.

Almost surely, 211369530384 is an apocalyptic number.

11369530384 is the 106628-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11369530384

11369530384 is an abundant number, since it is smaller than the sum of its proper divisors (13339069805).

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

11369530384 is an equidigital number, since it uses as much as digits as its factorization.

11369530384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 105 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 43.

The spelling of 11369530384 in words is "eleven billion, three hundred sixty-nine million, five hundred thirty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 16 19 23 38 46 61 76 92 122 152 184 244 304 361 368 437 488 529 722 874 976 1058 1159 1403 1444 1748 2116 2318 2806 2888 3496 3721 4232 4636 5612 5776 6992 7442 8303 8464 9272 10051 11224 14884 16606 18544 20102 22021 22448 26657 29768 32269 33212 40204 44042 53314 59536 64538 66424 70699 80408 85583 88084 106628 129076 132848 141398 160816 171166 176168 190969 213256 258152 282796 342332 352336 381938 426512 506483 516304 565592 613111 684664 763876 1012966 1131184 1226222 1343281 1369328 1527752 1626077 1968409 2025932 2452444 2686562 3055504 3252154 3936818 4051864 4904888 5373124 6504308 7873636 8103728 9809776 10746248 11649109 13008616 15747272 21492496 23298218 26017232 30895463 31494544 37399771 46596436 61790926 74799542 93192872 123581852 149599084 186385744 247163704 299198168 494327408 598396336 710595649 1421191298 2842382596 5684765192 11369530384