Search a number
-
+
11208263040 = 273251343592
BaseRepresentation
bin10100111000001000…
…01000010110000000
31001221010022202102100
422130010020112000
5140423303404130
65052103550400
7544515443502
oct123404102600
931833282370
1011208263040
114831854a07
12220975b400
131098115a10
14784803d72
15458ecbc60
hex29c108580

11208263040 has 576 divisors, whose sum is σ = 43385181840. Its totient is φ = 2649120768.

The previous prime is 11208262973. The next prime is 11208263057. The reversal of 11208263040 is 4036280211.

11208263040 is a `hidden beast` number, since 1 + 1 + 20 + 8 + 2 + 630 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a junction number, because it is equal to n+sod(n) for n = 11208262995 and 11208263013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189970531 + ... + 189970589.

Almost surely, 211208263040 is an apocalyptic number.

11208263040 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 11208263040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21692590920).

11208263040 is an abundant number, since it is smaller than the sum of its proper divisors (32176918800).

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

11208263040 is a wasteful number, since it uses less digits than its factorization.

11208263040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The spelling of 11208263040 in words is "eleven billion, two hundred eight million, two hundred sixty-three thousand, forty".