Search a number
-
+
11990322972000 = 2533531731293719
BaseRepresentation
bin1010111001111011011011…
…1100010000010101100000
31120110021010020001010222000
42232132312330100111200
53032422140140101000
641300140041444000
72345162244434622
oct256366674202540
946407106033860
1011990322972000
1139030818044aa
12141797aaa0600
1368c8b48b4309
142d64986ccc12
1515bd685ad000
hexae7b6f10560

11990322972000 has 1536 divisors, whose sum is σ = 47932209561600. Its totient is φ = 2898284544000.

The previous prime is 11990322971971. The next prime is 11990322972013. The reversal of 11990322972000 is 27922309911.

11990322972000 is a `hidden beast` number, since 119 + 9 + 0 + 322 + 9 + 7 + 200 + 0 = 666.

11990322972000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 16676387641 + ... + 16676388359.

It is an arithmetic number, because the mean of its divisors is an integer number (31205865600).

Almost surely, 211990322972000 is an apocalyptic number.

11990322972000 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 11990322972000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23966104780800).

11990322972000 is an abundant number, since it is smaller than the sum of its proper divisors (35941886589600).

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

11990322972000 is a wasteful number, since it uses less digits than its factorization.

11990322972000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 122472, while the sum is 45.

The spelling of 11990322972000 in words is "eleven trillion, nine hundred ninety billion, three hundred twenty-two million, nine hundred seventy-two thousand".