Search a number
-
+
11209457070 = 23257253199241
BaseRepresentation
bin10100111000010001…
…01011110110101110
31001221012120102022200
422130020223312232
5140424110111240
65052145322330
7544531545600
oct123410536656
931835512280
1011209457070
1148324a0009
12220a0363a6
131098443346
14784a35170
15459165930
hex29c22bdae

11209457070 has 288 divisors, whose sum is σ = 34860196800. Its totient is φ = 2490808320.

The previous prime is 11209457069. The next prime is 11209457099. The reversal of 11209457070 is 7075490211.

It is a happy number.

11209457070 is a `hidden beast` number, since 1 + 12 + 0 + 9 + 4 + 570 + 70 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46512150 + ... + 46512390.

It is an arithmetic number, because the mean of its divisors is an integer number (121042350).

Almost surely, 211209457070 is an apocalyptic number.

11209457070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11209457070, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17430098400).

11209457070 is an abundant number, since it is smaller than the sum of its proper divisors (23650739730).

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

11209457070 is a wasteful number, since it uses less digits than its factorization.

11209457070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The spelling of 11209457070 in words is "eleven billion, two hundred nine million, four hundred fifty-seven thousand, seventy".