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20342412320 = 2551911295927
BaseRepresentation
bin10010111100100000…
…001001010000100000
31221111200211121122112
4102330200021100200
5313130124143240
613202320254452
71320050436356
oct227440112040
957450747575
1020342412320
11869984150a
123b38771428
131bc2605289
14dad9797d6
157e0d56665
hex4bc809420

20342412320 has 96 divisors (see below), whose sum is σ = 50641718400. Its totient is φ = 7700576256.

The previous prime is 20342412287. The next prime is 20342412331. The reversal of 20342412320 is 2321424302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3429197 + ... + 3435123.

It is an arithmetic number, because the mean of its divisors is an integer number (527517900).

Almost surely, 220342412320 is an apocalyptic number.

20342412320 is a gapful number since it is divisible by the number (20) 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 20342412320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25320859200).

20342412320 is an abundant number, since it is smaller than the sum of its proper divisors (30299306080).

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

20342412320 is a wasteful number, since it uses less digits than its factorization.

20342412320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7090 (or 7082 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 20342412320 its reverse (2321424302), we get a palindrome (22663836622).

The spelling of 20342412320 in words is "twenty billion, three hundred forty-two million, four hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 76 80 95 152 160 190 304 380 608 760 1129 1520 2258 3040 4516 5645 5927 9032 11290 11854 18064 21451 22580 23708 29635 36128 42902 45160 47416 59270 85804 90320 94832 107255 112613 118540 171608 180640 189664 214510 225226 237080 343216 429020 450452 474160 563065 686432 858040 900904 948320 1126130 1716080 1801808 2252260 3432160 3603616 4504520 6691583 9009040 13383166 18018080 26766332 33457915 53532664 66915830 107065328 127140077 133831660 214130656 254280154 267663320 508560308 535326640 635700385 1017120616 1070653280 1271400770 2034241232 2542801540 4068482464 5085603080 10171206160 20342412320