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1191142056 = 2331329472801
BaseRepresentation
bin100011011111111…
…0110001010101000
310002000100021201110
41012333312022220
54414413021211
6314110150320
741342353236
oct10677661250
93060307643
101191142056
11561406725
12292ab23a0
1315ca126b0
14b42a5956
156e88aea6
hex46ff62a8

1191142056 has 128 divisors (see below), whose sum is σ = 3389299200. Its totient is φ = 346214400.

The previous prime is 1191142033. The next prime is 1191142061. The reversal of 1191142056 is 6502411911.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 423856 + ... + 426656.

It is an arithmetic number, because the mean of its divisors is an integer number (26478900).

Almost surely, 21191142056 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 1191142056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1694649600).

1191142056 is an abundant number, since it is smaller than the sum of its proper divisors (2198157144).

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

1191142056 is a wasteful number, since it uses less digits than its factorization.

1191142056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2899 (or 2895 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 30.

The square root of 1191142056 is about 34512.9259263830. The cubic root of 1191142056 is about 1060.0373951445.

Adding to 1191142056 its reverse (6502411911), we get a palindrome (7693553967).

The spelling of 1191142056 in words is "one billion, one hundred ninety-one million, one hundred forty-two thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 13 24 26 29 39 47 52 58 78 87 94 104 116 141 156 174 188 232 282 312 348 376 377 564 611 696 754 1128 1131 1222 1363 1508 1833 2262 2444 2726 2801 3016 3666 4089 4524 4888 5452 5602 7332 8178 8403 9048 10904 11204 14664 16356 16806 17719 22408 32712 33612 35438 36413 53157 67224 70876 72826 81229 106314 109239 131647 141752 145652 162458 212628 218478 243687 263294 291304 324916 394941 425256 436956 487374 526588 649832 789882 873912 974748 1053176 1055977 1579764 1711411 1949496 2111954 3159528 3167931 3422822 3817763 4223908 5134233 6335862 6845644 7635526 8447816 10268466 11453289 12671724 13691288 15271052 20536932 22906578 25343448 30542104 41073864 45813156 49630919 91626312 99261838 148892757 198523676 297785514 397047352 595571028 1191142056