Search a number
-
+
11887493399392 = 2513237549164581
BaseRepresentation
bin1010110011111100010111…
…0100100100001101100000
31120002102200212001121210211
42230333011310210031200
53024231041302240032
641141012235103504
72334562111462402
oct254770564441540
946072625047724
1011887493399392
113873504132646
1213bba615a1b94
13682ca7ac2070
142d150194ab72
1515934ac46747
hexacfc5d24360

11887493399392 has 96 divisors (see below), whose sum is σ = 26303231908800. Its totient is φ = 5247263324160.

The previous prime is 11887493399377. The next prime is 11887493399401. The reversal of 11887493399392 is 29399339478811.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72146542 + ... + 72311122.

It is an arithmetic number, because the mean of its divisors is an integer number (273991999050).

Almost surely, 211887493399392 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 11887493399392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13151615954400).

11887493399392 is an abundant number, since it is smaller than the sum of its proper divisors (14415738509408).

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

11887493399392 is a wasteful number, since it uses less digits than its factorization.

11887493399392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172176 (or 172168 counting only the distinct ones).

The product of its digits is 634894848, while the sum is 76.

The spelling of 11887493399392 in words is "eleven trillion, eight hundred eighty-seven billion, four hundred ninety-three million, three hundred ninety-nine thousand, three hundred ninety-two".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 92 104 184 208 299 368 416 598 736 1196 2392 4784 7549 9568 15098 30196 60392 98137 120784 164581 173627 196274 241568 329162 347254 392548 658324 694508 785096 1316648 1389016 1570192 2139553 2257151 2633296 2778032 3140384 3785363 4279106 4514302 5266592 5556064 7570726 8558212 9028604 15141452 17116424 18057208 30282904 34232848 36114416 49209719 60565808 68465696 72228832 98419438 121131616 196838876 393677752 787355504 1242421969 1574711008 2484843938 4969687876 9939375752 16151485597 19878751504 28575705287 32302971194 39757503008 57151410574 64605942388 114302821148 129211884776 228605642296 258423769552 371484168731 457211284592 516847539104 742968337462 914422569184 1485936674924 2971873349848 5943746699696 11887493399392