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20215314432 = 211322959641
BaseRepresentation
bin10010110100111011…
…010011100000000000
31221011211200101010100
4102310323103200000
5312400110030212
613141540202400
71313645223525
oct226473234000
957154611110
1020215314432
118634021a35
123b02099400
131ba2194721
14d9ab3314c
157d4aecbdc
hex4b4ed3800

20215314432 has 288 divisors, whose sum is σ = 61518366000. Its totient is φ = 6385827840.

The previous prime is 20215314389. The next prime is 20215314433. The reversal of 20215314432 is 23441351202.

20215314432 is a `hidden beast` number, since 2 + 0 + 215 + 3 + 1 + 443 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 20215314396 and 20215314405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20215314433) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31536832 + ... + 31537472.

Almost surely, 220215314432 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 20215314432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30759183000).

20215314432 is an abundant number, since it is smaller than the sum of its proper divisors (41303051568).

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

20215314432 is a wasteful number, since it uses less digits than its factorization.

20215314432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 734 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 20215314432 its reverse (23441351202), we get a palindrome (43656665634).

The spelling of 20215314432 in words is "twenty billion, two hundred fifteen million, three hundred fourteen thousand, four hundred thirty-two".