Search a number
-
+
11344853520 = 2435571121353
BaseRepresentation
bin10101001000011010…
…01011101000010000
31002021122100021100000
422210031023220100
5141213240303040
65113423330000
7551064443460
oct124415135020
932248307300
1011344853520
1148a1968400
122247450900
1310ba4cb1a0
147989dbba0
15465ead130
hex2a434ba10

11344853520 has 1440 divisors, whose sum is σ = 54460014336. Its totient is φ = 2134978560.

The previous prime is 11344853519. The next prime is 11344853551. The reversal of 11344853520 is 2535844311.

11344853520 is a `hidden beast` number, since 1 + 13 + 44 + 85 + 3 + 520 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 214053814 + ... + 214053866.

Almost surely, 211344853520 is an apocalyptic number.

11344853520 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 11344853520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27230007168).

11344853520 is an abundant number, since it is smaller than the sum of its proper divisors (43115160816).

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

11344853520 is a wasteful number, since it uses less digits than its factorization.

11344853520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 11344853520 in words is "eleven billion, three hundred forty-four million, eight hundred fifty-three thousand, five hundred twenty".