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20413132224 = 263234622539
BaseRepresentation
bin10011000000101101…
…111010110111000000
31221200121220120010020
4103000231322313000
5313301230212344
613213324133440
71321566522012
oct230055726700
957617816106
1020413132224
118725754411
123b58397280
131c04166684
14db91081b2
157e7175719
hex4c0b7adc0

20413132224 has 56 divisors (see below), whose sum is σ = 56358007680. Its totient is φ = 6508533504.

The previous prime is 20413132213. The next prime is 20413132253. The reversal of 20413132224 is 42223131402.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 20413132194 and 20413132203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2306854 + ... + 2315685.

Almost surely, 220413132224 is an apocalyptic number.

20413132224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20413132224 is an abundant number, since it is smaller than the sum of its proper divisors (35944875456).

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

20413132224 is a wasteful number, since it uses less digits than its factorization.

20413132224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4622577 (or 4622567 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20413132224 its reverse (42223131402), we get a palindrome (62636263626).

The spelling of 20413132224 in words is "twenty billion, four hundred thirteen million, one hundred thirty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 368 552 736 1104 1472 2208 4416 4622539 9245078 13867617 18490156 27735234 36980312 55470468 73960624 106318397 110940936 147921248 212636794 221881872 295842496 318955191 425273588 443763744 637910382 850547176 887527488 1275820764 1701094352 2551641528 3402188704 5103283056 6804377408 10206566112 20413132224