Search a number
-
+
11765125000 = 235694121
BaseRepresentation
bin10101111010100000…
…11000111110001000
31010100221011021102101
422331100120332020
5143043333000000
65223235243144
7564356624656
oct127520307610
933327137371
1011765125000
114a98119602
1223441494b4
1311565b9635
147d875bdd6
1548cd27e6a
hex2bd418f88

11765125000 has 56 divisors (see below), whose sum is σ = 27574451730. Its totient is φ = 4706000000.

The previous prime is 11765124971. The next prime is 11765125013. The reversal of 11765125000 is 52156711.

It can be written as a sum of positive squares in 7 ways, for example, as 7046259364 + 4718865636 = 83942^2 + 68694^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 11765125000.

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 77940 + ... + 172060.

Almost surely, 211765125000 is an apocalyptic number.

11765125000 is a gapful number since it is divisible by the number (10) 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 11765125000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13787225865).

11765125000 is an abundant number, since it is smaller than the sum of its proper divisors (15809326730).

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

11765125000 is an frugal number, since it uses more digits than its factorization.

11765125000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94157 (or 94128 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 11765125000 in words is "eleven billion, seven hundred sixty-five million, one hundred twenty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3125 5000 6250 12500 15625 25000 31250 62500 94121 125000 188242 376484 470605 752968 941210 1882420 2353025 3764840 4706050 9412100 11765125 18824200 23530250 47060500 58825625 94121000 117651250 235302500 294128125 470605000 588256250 1176512500 1470640625 2353025000 2941281250 5882562500 11765125000