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11382222384 = 2434131931237
BaseRepresentation
bin10101001100110111…
…01110111000110000
31002101020122210210000
422212123232320300
5141302322104014
65121240310000
7552030202551
oct124633567060
932336583700
1011382222384
114910a71165
122257a72300
1310c5183240
1479d968328
154693e0509
hex2a66eee30

11382222384 has 600 divisors, whose sum is σ = 39631265520. Its totient is φ = 3124085760.

The previous prime is 11382222377. The next prime is 11382222391. The reversal of 11382222384 is 48322228311.

It is an interprime number because it is at equal distance from previous prime (11382222377) and next prime (11382222391).

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

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 307627614 + ... + 307627650.

Almost surely, 211382222384 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 11382222384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19815632760).

11382222384 is an abundant number, since it is smaller than the sum of its proper divisors (28249043136).

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

11382222384 is a wasteful number, since it uses less digits than its factorization.

11382222384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 105 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

The spelling of 11382222384 in words is "eleven billion, three hundred eighty-two million, two hundred twenty-two thousand, three hundred eighty-four".