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20320242432 = 283716323189
BaseRepresentation
bin10010111011001011…
…100100101100000000
31221110011010021021120
4102323023210230000
5313103440224212
613200205152240
71316361132210
oct227313445400
957404107246
1020320242432
118688279996
123b3125b680
131bbab422b9
14daaa48240
157dde2788c
hex4bb2e4b00

20320242432 has 144 divisors (see below), whose sum is σ = 62189272320. Its totient is φ = 5769916416.

The previous prime is 20320242427. The next prime is 20320242433. The reversal of 20320242432 is 23424202302.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (20320242433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 864694 + ... + 887882.

Almost surely, 220320242432 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 20320242432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31094636160).

20320242432 is an abundant number, since it is smaller than the sum of its proper divisors (41869029888).

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

20320242432 is a wasteful number, since it uses less digits than its factorization.

20320242432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23378 (or 23364 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 24.

Adding to 20320242432 its reverse (23424202302), we get a palindrome (43744444734).

The spelling of 20320242432 in words is "twenty billion, three hundred twenty million, two hundred forty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 652 672 768 896 978 1141 1304 1344 1792 1956 2282 2608 2688 3423 3912 4564 5216 5376 6846 7824 9128 10432 13692 15648 18256 20864 23189 27384 31296 36512 41728 46378 54768 62592 69567 73024 92756 109536 125184 139134 146048 162323 185512 219072 278268 292096 324646 371024 438144 486969 556536 649292 742048 876288 973938 1113072 1298584 1484096 1947876 2226144 2597168 2968192 3779807 3895752 4452288 5194336 5936384 7559614 7791504 8904576 10388672 11339421 15119228 15583008 17809152 20777344 22678842 26458649 30238456 31166016 41554688 45357684 52917298 60476912 62332032 79375947 90715368 105834596 120953824 124664064 158751894 181430736 211669192 241907648 317503788 362861472 423338384 483815296 635007576 725722944 846676768 967630592 1270015152 1451445888 1693353536 2540030304 2902891776 3386707072 5080060608 6773414144 10160121216 20320242432