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20344257920 = 27574541129
BaseRepresentation
bin10010111100100111…
…001011110110000000
31221111211022101100002
4102330213023312000
5313131112223140
613202424015132
71320102224210
oct227447136600
957454271302
1020344257920
11869a8920a8
123b393014a8
131bc2b0034c
14dadcda240
157e10bd415
hex4bc9cbd80

20344257920 has 64 divisors (see below), whose sum is σ = 55583431200. Its totient is φ = 6975172608.

The previous prime is 20344257907. The next prime is 20344258001. The reversal of 20344257920 is 2975244302.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2266085 + ... + 2275044.

Almost surely, 220344257920 is an apocalyptic number.

20344257920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20344257920 is an abundant number, since it is smaller than the sum of its proper divisors (35239173280).

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

20344257920 is an equidigital number, since it uses as much as digits as its factorization.

20344257920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4541155 (or 4541143 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 38.

The spelling of 20344257920 in words is "twenty billion, three hundred forty-four million, two hundred fifty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 280 320 448 560 640 896 1120 2240 4480 4541129 9082258 18164516 22705645 31787903 36329032 45411290 63575806 72658064 90822580 127151612 145316128 158939515 181645160 254303224 290632256 317879030 363290320 508606448 581264512 635758060 726580640 1017212896 1271516120 1453161280 2034425792 2543032240 2906322560 4068851584 5086064480 10172128960 20344257920