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20379163520 = 27537984017
BaseRepresentation
bin10010111110101100…
…010101101110000000
31221121020222202211002
4102332230111232000
5313214031213040
613210112111132
71321005013622
oct227654255600
957536882732
1020379163520
118708563201
123b48b354a8
131bca102151
14db47c4c12
157e41b5a15
hex4beb15b80

20379163520 has 64 divisors (see below), whose sum is σ = 48848065200. Its totient is φ = 8130060288.

The previous prime is 20379163513. The next prime is 20379163531. The reversal of 20379163520 is 2536197302.

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, 200552 + ... + 284568.

Almost surely, 220379163520 is an apocalyptic number.

20379163520 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 20379163520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24424032600).

20379163520 is an abundant number, since it is smaller than the sum of its proper divisors (28468901680).

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

20379163520 is an equidigital number, since it uses as much as digits as its factorization.

20379163520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84415 (or 84403 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 38.

The spelling of 20379163520 in words is "twenty billion, three hundred seventy-nine million, one hundred sixty-three thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 379 640 758 1516 1895 3032 3790 6064 7580 12128 15160 24256 30320 48512 60640 84017 121280 168034 242560 336068 420085 672136 840170 1344272 1680340 2688544 3360680 5377088 6721360 10754176 13442720 26885440 31842443 53770880 63684886 127369772 159212215 254739544 318424430 509479088 636848860 1018958176 1273697720 2037916352 2547395440 4075832704 5094790880 10189581760 20379163520