Search a number
-
+
11297031408 = 24321331533673
BaseRepresentation
bin10101000010101101…
…10000010011110000
31002011022100122201200
422201112300103300
5141114020001113
65104554331200
7546644116425
oct124126602360
932138318650
1011297031408
1148779749a3
122233429b00
1310b0626190
1479250dd4c
15461bb3873
hex2a15b04f0

11297031408 has 240 divisors, whose sum is σ = 35819207424. Its totient is φ = 3299512320.

The previous prime is 11297031407. The next prime is 11297031443. The reversal of 11297031408 is 80413079211.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11297031407) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3073860 + ... + 3077532.

Almost surely, 211297031408 is an apocalyptic number.

11297031408 is a gapful number since it is divisible by the number (18) 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 11297031408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17909603712).

11297031408 is an abundant number, since it is smaller than the sum of its proper divisors (24522176016).

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

11297031408 is a wasteful number, since it uses less digits than its factorization.

11297031408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3784 (or 3775 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11297031408 in words is "eleven billion, two hundred ninety-seven million, thirty-one thousand, four hundred eight".