Search a number
-
+
11712700000 = 2555117127
BaseRepresentation
bin10101110100010000…
…11001111001100000
31010020021111210211201
422322020121321200
5142441422400000
65214123450544
7563152210261
oct127210317140
933207453751
1011712700000
114a70571961
12232a686a54
131148792521
147d17d2968
1548841e96a
hex2ba219e60

11712700000 has 72 divisors (see below), whose sum is σ = 28822623984. Its totient is φ = 4685040000.

The previous prime is 11712699997. The next prime is 11712700033. The reversal of 11712700000 is 721711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41437 + ... + 158563.

It is an arithmetic number, because the mean of its divisors is an integer number (400314222).

Almost surely, 211712700000 is an apocalyptic number.

11712700000 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 11712700000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14411311992).

11712700000 is an abundant number, since it is smaller than the sum of its proper divisors (17109923984).

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

11712700000 is an frugal number, since it uses more digits than its factorization.

11712700000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117162 (or 117134 counting only the distinct ones).

The product of its (nonzero) digits is 98, while the sum is 19.

The spelling of 11712700000 in words is "eleven billion, seven hundred twelve million, seven hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 3125 4000 5000 6250 10000 12500 20000 25000 50000 100000 117127 234254 468508 585635 937016 1171270 1874032 2342540 2928175 3748064 4685080 5856350 9370160 11712700 14640875 18740320 23425400 29281750 46850800 58563500 73204375 93701600 117127000 146408750 234254000 292817500 366021875 468508000 585635000 732043750 1171270000 1464087500 2342540000 2928175000 5856350000 11712700000