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20303682880 = 2651310944777
BaseRepresentation
bin10010111010001100…
…011001110101000000
31221101222221221211211
4102322030121311000
5313040220323010
613154414215504
71316100312505
oct227214316500
957358857754
1020303682880
118679999508
123b277b4594
131bb7594b50
14da87774ac
157dc75608a
hex4ba319d40

20303682880 has 112 divisors (see below), whose sum is σ = 52546087440. Its totient is φ = 7427801088.

The previous prime is 20303682859. The next prime is 20303682887. The reversal of 20303682880 is 8828630302.

It can be written as a sum of positive squares in 8 ways, for example, as 465523776 + 19838159104 = 21576^2 + 140848^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20303682887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 431052 + ... + 475828.

It is an arithmetic number, because the mean of its divisors is an integer number (469161495).

Almost surely, 220303682880 is an apocalyptic number.

20303682880 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 20303682880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26273043720).

20303682880 is an abundant number, since it is smaller than the sum of its proper divisors (32242404560).

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

20303682880 is a wasteful number, since it uses less digits than its factorization.

20303682880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44916 (or 44906 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 40.

The spelling of 20303682880 in words is "twenty billion, three hundred three million, six hundred eighty-two thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 109 130 160 208 218 260 320 416 436 520 545 832 872 1040 1090 1417 1744 2080 2180 2834 3488 4160 4360 5668 6976 7085 8720 11336 14170 17440 22672 28340 34880 44777 45344 56680 89554 90688 113360 179108 223885 226720 358216 447770 453440 582101 716432 895540 1164202 1432864 1791080 2328404 2865728 2910505 3582160 4656808 4880693 5821010 7164320 9313616 9761386 11642020 14328640 18627232 19522772 23284040 24403465 37254464 39045544 46568080 48806930 63449009 78091088 93136160 97613860 126898018 156182176 186272320 195227720 253796036 312364352 317245045 390455440 507592072 634490090 780910880 1015184144 1268980180 1561821760 2030368288 2537960360 4060736576 5075920720 10151841440 20303682880