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11214432432 = 2432721793491
BaseRepresentation
bin10100111000110111…
…01010100010110000
31001221112221012020100
422130123222202300
5140431343314212
65052444112400
7544622050200
oct123433524260
931845835210
1011214432432
114835289085
12220b835700
131099495b48
1478556c400
154597e9bdc
hex29c6ea8b0

11214432432 has 180 divisors, whose sum is σ = 38656885176. Its totient is φ = 3015613440.

The previous prime is 11214432421. The next prime is 11214432461. The reversal of 11214432432 is 23423441211.

11214432432 is a `hidden beast` number, since 11 + 214 + 4 + 3 + 2 + 432 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11214432396 and 11214432405.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 73207 + ... + 166697.

Almost surely, 211214432432 is an apocalyptic number.

11214432432 is a gapful number since it is divisible by the number (12) 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 11214432432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19328442588).

11214432432 is an abundant number, since it is smaller than the sum of its proper divisors (27442452744).

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

11214432432 is a wasteful number, since it uses less digits than its factorization.

11214432432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93536 (or 93520 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

Adding to 11214432432 its reverse (23423441211), we get a palindrome (34637873643).

The spelling of 11214432432 in words is "eleven billion, two hundred fourteen million, four hundred thirty-two thousand, four hundred thirty-two".