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20426464464 = 243761399173
BaseRepresentation
bin10011000001100000…
…110001110011010000
31221201112222220111220
4103001200301303100
5313313133330324
613214522005040
71322121040350
oct230140616320
957645886456
1020426464464
11873223009a
123b60946780
131c06b53b83
14dbabb8b60
157e840ab79
hex4c1831cd0

20426464464 has 80 divisors (see below), whose sum is σ = 60405693312. Its totient is φ = 5826553344.

The previous prime is 20426464441. The next prime is 20426464547. The reversal of 20426464464 is 46446462402.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 156382 + ... + 255554.

Almost surely, 220426464464 is an apocalyptic number.

20426464464 is a gapful number since it is divisible by the number (24) 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 20426464464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30202846656).

20426464464 is an abundant number, since it is smaller than the sum of its proper divisors (39979228848).

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

20426464464 is a wasteful number, since it uses less digits than its factorization.

20426464464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99804 (or 99798 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 20426464464 in words is "twenty billion, four hundred twenty-six million, four hundred sixty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 613 1226 1839 2452 3678 4291 4904 7356 8582 9808 12873 14712 17164 25746 29424 34328 51492 68656 99173 102984 198346 205968 297519 396692 595038 694211 793384 1190076 1388422 1586768 2082633 2380152 2776844 4165266 4760304 5553688 8330532 11107376 16661064 33322128 60793049 121586098 182379147 243172196 364758294 425551343 486344392 729516588 851102686 972688784 1276654029 1459033176 1702205372 2553308058 2918066352 3404410744 5106616116 6808821488 10213232232 20426464464