Search a number
-
+
11397410640 = 243357111729139
BaseRepresentation
bin10101001110101011…
…01010111101010000
31002102022020110011000
422213111222331100
5141320214120030
65122542022000
7552303251310
oct124725527520
932368213130
1011397410640
1149195a5340
122260b77900
1310c8370485
147a199d440
1546a8e0860
hex2a756af50

11397410640 has 1280 divisors, whose sum is σ = 53996544000. Its totient is φ = 2136637440.

The previous prime is 11397410621. The next prime is 11397410641. The reversal of 11397410640 is 4601479311.

11397410640 is a `hidden beast` number, since 1 + 1 + 3 + 9 + 7 + 4 + 1 + 0 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11397410595 and 11397410604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11397410641) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 81995691 + ... + 81995829.

It is an arithmetic number, because the mean of its divisors is an integer number (42184800).

Almost surely, 211397410640 is an apocalyptic number.

11397410640 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 11397410640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26998272000).

11397410640 is an abundant number, since it is smaller than the sum of its proper divisors (42599133360).

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

11397410640 is a wasteful number, since it uses less digits than its factorization.

11397410640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225 (or 213 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

Adding to 11397410640 its reverse (4601479311), we get a palindrome (15998889951).

The spelling of 11397410640 in words is "eleven billion, three hundred ninety-seven million, four hundred ten thousand, six hundred forty".