Search a number
-
+
11372227198080 = 2735737179251509
BaseRepresentation
bin1010010101111100110110…
…0011111111110010000000
31111021011201001210112022220
42211133031203333302000
52442310310130314310
640104155024131040
72252421251153340
oct245371543776200
944234631715286
1011372227198080
113694a30864151
12133801ba66a80
1364651cc32498
142b45c100ad20
1514ac3ec69670
hexa57cd8ffc80

11372227198080 has 1024 divisors, whose sum is σ = 43039600128000. Its totient is φ = 2500042752000.

The previous prime is 11372227198061. The next prime is 11372227198081. The reversal of 11372227198080 is 8089172227311.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (11372227198081) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22342292866 + ... + 22342293374.

It is an arithmetic number, because the mean of its divisors is an integer number (42030859500).

Almost surely, 211372227198080 is an apocalyptic number.

11372227198080 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 11372227198080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21519800064000).

11372227198080 is an abundant number, since it is smaller than the sum of its proper divisors (31667372929920).

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

11372227198080 is a wasteful number, since it uses less digits than its factorization.

11372227198080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005 (or 993 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 51.

The spelling of 11372227198080 in words is "eleven trillion, three hundred seventy-two billion, two hundred twenty-seven million, one hundred ninety-eight thousand, eighty".