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11389787136 = 21035713503
BaseRepresentation
bin10101001101110001…
…00101110000000000
31002101202220010200000
422212320211300000
5141311241142021
65122110400000
7552151410330
oct124670456000
932352803600
1011389787136
114915268722
12225a500000
1310c6901520
147a09770c0
15469dd6b26
hex2a6e25c00

11389787136 has 528 divisors, whose sum is σ = 42059856384. Its totient is φ = 2997927936.

The previous prime is 11389787131. The next prime is 11389787137. The reversal of 11389787136 is 63178798311.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11389787131) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 22643461 + ... + 22643963.

Almost surely, 211389787136 is an apocalyptic number.

11389787136 is a gapful number since it is divisible by the number (16) 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 11389787136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21029928192).

11389787136 is an abundant number, since it is smaller than the sum of its proper divisors (30670069248).

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

11389787136 is an equidigital number, since it uses as much as digits as its factorization.

11389787136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 528 counting only the distinct ones).

The product of its digits is 1524096, while the sum is 54.

The spelling of 11389787136 in words is "eleven billion, three hundred eighty-nine million, seven hundred eighty-seven thousand, one hundred thirty-six".