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20327345920 = 28572268677
BaseRepresentation
bin10010111011100110…
…101010111100000000
31221110122111011102201
4102323212222330000
5313112300032140
613201021322544
71316505406120
oct227346527400
957418434381
1020327345920
118691290942
123b33706454
131bbc45b64b
14dab976c80
157de87c49a
hex4bb9aaf00

20327345920 has 72 divisors (see below), whose sum is σ = 55646133984. Its totient is φ = 6969372672.

The previous prime is 20327345911. The next prime is 20327345953. The reversal of 20327345920 is 2954372302.

It is a super-3 number, since 3×203273459203 (a number of 32 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20327345920.

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, 1125379 + ... + 1143298.

It is an arithmetic number, because the mean of its divisors is an integer number (772862972).

Almost surely, 220327345920 is an apocalyptic number.

20327345920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20327345920 is an abundant number, since it is smaller than the sum of its proper divisors (35318788064).

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

20327345920 is an equidigital number, since it uses as much as digits as its factorization.

20327345920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268705 (or 2268691 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 37.

The spelling of 20327345920 in words is "twenty billion, three hundred twenty-seven million, three hundred forty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 2268677 4537354 9074708 11343385 15880739 18149416 22686770 31761478 36298832 45373540 63522956 72597664 79403695 90747080 127045912 145195328 158807390 181494160 254091824 290390656 317614780 362988320 508183648 580781312 635229560 725976640 1016367296 1270459120 1451953280 2032734592 2540918240 2903906560 4065469184 5081836480 10163672960 20327345920