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20300280168 = 2337256330661
BaseRepresentation
bin10010111001111111…
…011011000101101000
31221101202120002012110
4102321333123011220
5313033332431133
613154213242320
71316026351200
oct227177330550
957352502173
1020300280168
118677a84a53
123b266333a0
131bb69730cc
14da812d400
157dc2d2c63
hex4b9fdb168

20300280168 has 96 divisors (see below), whose sum is σ = 59143318560. Its totient is φ = 5789589120.

The previous prime is 20300280167. The next prime is 20300280191. The reversal of 20300280168 is 86108200302.

It is not an unprimeable number, because it can be changed into a prime (20300280167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 646758 + ... + 677418.

It is an arithmetic number, because the mean of its divisors is an integer number (616076235).

Almost surely, 220300280168 is an apocalyptic number.

20300280168 is a gapful number since it is divisible by the number (28) 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 20300280168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29571659280).

20300280168 is an abundant number, since it is smaller than the sum of its proper divisors (38843038392).

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

20300280168 is a wasteful number, since it uses less digits than its factorization.

20300280168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31247 (or 31236 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 20300280168 in words is "twenty billion, three hundred million, two hundred eighty thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 563 588 1126 1176 1689 2252 3378 3941 4504 6756 7882 11823 13512 15764 23646 27587 30661 31528 47292 55174 61322 82761 91983 94584 110348 122644 165522 183966 214627 220696 245288 331044 367932 429254 643881 662088 735864 858508 1287762 1502389 1717016 2575524 3004778 4507167 5151048 6009556 9014334 12019112 17262143 18028668 34524286 36057336 51786429 69048572 103572858 120835001 138097144 207145716 241670002 362505003 414291432 483340004 725010006 845845007 966680008 1450020012 1691690014 2537535021 2900040024 3383380028 5075070042 6766760056 10150140084 20300280168