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11140150560 = 253571134753
BaseRepresentation
bin10100110000000000…
…10011010100100000
31001202101011021122220
422120000103110200
5140303334304220
65041232031040
7543030501030
oct123000232440
931671137586
1011140150560
1147a7363000
1221aa992480
131086c88386
147797538c0
15453025540
hex298013520

11140150560 has 768 divisors, whose sum is σ = 45900546048. Its totient is φ = 2222837760.

The previous prime is 11140150543. The next prime is 11140150573. The reversal of 11140150560 is 6505104111.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 11140150560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 210191494 + ... + 210191546.

It is an arithmetic number, because the mean of its divisors is an integer number (59766336).

Almost surely, 211140150560 is an apocalyptic number.

11140150560 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 11140150560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22950273024).

11140150560 is an abundant number, since it is smaller than the sum of its proper divisors (34760395488).

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

11140150560 is a wasteful number, since it uses less digits than its factorization.

11140150560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 24.

Adding to 11140150560 its reverse (6505104111), we get a palindrome (17645254671).

The spelling of 11140150560 in words is "eleven billion, one hundred forty million, one hundred fifty thousand, five hundred sixty".