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20412204372 = 22327359225629
BaseRepresentation
bin10011000000101010…
…011000010101010100
31221200120011102100100
4103000222120111110
5313301011014442
613213252214100
71321555605630
oct230052302524
957616142310
1020412204372
11872518029a
123b5800a330
131c03c00251
14db8d45dc0
157e704084c
hex4c0a98554

20412204372 has 72 divisors (see below), whose sum is σ = 59133110400. Its totient is φ = 5815787328.

The previous prime is 20412204367. The next prime is 20412204377. The reversal of 20412204372 is 27340221402.

20412204372 is a `hidden beast` number, since 2 + 0 + 4 + 1 + 220 + 437 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (20412204367) and next prime (20412204377).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412204377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22347 + ... + 203282.

It is an arithmetic number, because the mean of its divisors is an integer number (821293200).

Almost surely, 220412204372 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 20412204372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29566555200).

20412204372 is an abundant number, since it is smaller than the sum of its proper divisors (38720906028).

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

20412204372 is a wasteful number, since it uses less digits than its factorization.

20412204372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226005 (or 226000 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

Adding to 20412204372 its reverse (27340221402), we get a palindrome (47752425774).

The spelling of 20412204372 in words is "twenty billion, four hundred twelve million, two hundred four thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 359 718 1077 1436 2154 2513 3231 4308 5026 6462 7539 10052 12924 15078 22617 30156 45234 90468 225629 451258 676887 902516 1353774 1579403 2030661 2707548 3158806 4061322 4738209 6317612 8122644 9476418 14214627 18952836 28429254 56858508 81000811 162001622 243002433 324003244 486004866 567005677 729007299 972009732 1134011354 1458014598 1701017031 2268022708 2916029196 3402034062 5103051093 6804068124 10206102186 20412204372