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11141741248 = 2611173159509
BaseRepresentation
bin10100110000001100…
…10111101011000000
31001202111011002200021
422120012113223000
5140304241204443
65041330103224
7543050144431
oct123006275300
931674132607
1011141741248
1147a824a120
1221ab41ab14
1310873c4401
14779a49488
1545323b9ed
hex298197ac0

11141741248 has 224 divisors, whose sum is σ = 26861414400. Its totient is φ = 4525670400.

The previous prime is 11141741239. The next prime is 11141741257. The reversal of 11141741248 is 84214714111.

It is an interprime number because it is at equal distance from previous prime (11141741239) and next prime (11141741257).

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21889218 + ... + 21889726.

Almost surely, 211141741248 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11141741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13430707200).

11141741248 is an abundant number, since it is smaller than the sum of its proper divisors (15719673152).

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

11141741248 is a wasteful number, since it uses less digits than its factorization.

11141741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 639 (or 629 counting only the distinct ones).

The product of its digits is 7168, while the sum is 34.

The spelling of 11141741248 in words is "eleven billion, one hundred forty-one million, seven hundred forty-one thousand, two hundred forty-eight".