Search a number
-
+
11350532561144 = 237259985749789
BaseRepresentation
bin1010010100101100000001…
…1101100001100011111000
31111012002201010111210020012
42211023000131201203320
52441431342313424034
640050210200521052
72251022530612100
oct245130035414370
944162633453205
1011350532561144
1136868087a5337
121333986480188
136444734383ca
142b3523a38200
1514a3c0358cce
hexa52c07618f8

11350532561144 has 96 divisors (see below), whose sum is σ = 25179569766000. Its totient is φ = 4781483384832.

The previous prime is 11350532561089. The next prime is 11350532561233. The reversal of 11350532561144 is 44116523505311.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 227947802 + ... + 227997590.

Almost surely, 211350532561144 is an apocalyptic number.

11350532561144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11350532561144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12589784883000).

11350532561144 is an abundant number, since it is smaller than the sum of its proper divisors (13829037204856).

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

11350532561144 is a wasteful number, since it uses less digits than its factorization.

11350532561144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59725 (or 59714 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 41.

The spelling of 11350532561144 in words is "eleven trillion, three hundred fifty billion, five hundred thirty-two million, five hundred sixty-one thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 49 56 59 98 118 196 236 392 413 472 826 1652 2891 3304 5782 9857 11564 19714 23128 39428 49789 68999 78856 99578 137998 199156 275996 348523 398312 482993 551992 581563 697046 965986 1163126 1394092 1931972 2326252 2439661 2788184 2937551 3863944 4070941 4652504 4879322 5875102 8141882 9758644 11750204 16283764 19517288 20562857 23500408 28496587 32567528 41125714 56993174 82251428 113986348 143939999 164502856 227972696 287879998 490770173 575759996 981540346 1151519992 1963080692 3435391211 3926161384 6870782422 13741564844 24047738477 27483129688 28955440207 48095476954 57910880414 96190953908 115821760828 192381907816 202688081449 231643521656 405376162898 810752325796 1418816570143 1621504651592 2837633140286 5675266280572 11350532561144