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20830367568 = 24311337910133
BaseRepresentation
bin10011011001100101…
…100010111101010000
31222202201000022102010
4103121211202331100
5320130033230233
613322551022520
71335124126413
oct233145427520
958681008363
1020830367568
11891a22150a
12405406aa40
131c6c730baa
1410186b7b7a
1581dae0b63
hex4d9962f50

20830367568 has 80 divisors (see below), whose sum is σ = 54436605120. Its totient is φ = 6863173632.

The previous prime is 20830367567. The next prime is 20830367587. The reversal of 20830367568 is 86576303802.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20830367567) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2050630 + ... + 2060762.

It is an arithmetic number, because the mean of its divisors is an integer number (680457564).

Almost surely, 220830367568 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 20830367568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27218302560).

20830367568 is an abundant number, since it is smaller than the sum of its proper divisors (33606237552).

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

20830367568 is a wasteful number, since it uses less digits than its factorization.

20830367568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10636 (or 10630 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 20830367568 in words is "twenty billion, eight hundred thirty million, three hundred sixty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 113 226 339 379 452 678 758 904 1137 1356 1516 1808 2274 2712 3032 4548 5424 6064 9096 10133 18192 20266 30399 40532 42827 60798 81064 85654 121596 128481 162128 171308 243192 256962 342616 486384 513924 685232 1027848 1145029 2055696 2290058 3435087 3840407 4580116 6870174 7680814 9160232 11521221 13740348 15361628 18320464 23042442 27480696 30723256 46084884 54961392 61446512 92169768 184339536 433965991 867931982 1301897973 1735863964 2603795946 3471727928 5207591892 6943455856 10415183784 20830367568